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Finding the Fourth Proportional to 106,703,999.70, 160,055,999.55 and 105,570,258.90

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Solution

The fourth proportional to 106,703,999.70, 160,055,999.55 and 105,570,258.90 is: 158,355,388.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,703,999.70 : 160,055,999.55 = 105,570,258.90 : x
  2. Step 2: Convert to fraction form
    106,703,999.70/160,055,999.55 = 105,570,258.90/x
  3. Step 3: Cross multiply
    106,703,999.70x = 160,055,999.55 × 105,570,258.90
  4. Step 4: Simplify right side
    106,703,999.70x = 16,897,153,310,991,786
  5. Step 5: Solve for x
    x = 16,897,153,310,991,786/106,703,999.70
  6. Step 6: Final answer
    x = 158,355,388.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.