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Finding the Fourth Proportional to 106,906.70, 160,014.45 and 83,405.90

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Solution

The fourth proportional to 106,906.70, 160,014.45 and 83,405.90 is: 124,839.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,906.70 : 160,014.45 = 83,405.90 : x
  2. Step 2: Convert to fraction form
    106,906.70/160,014.45 = 83,405.90/x
  3. Step 3: Cross multiply
    106,906.70x = 160,014.45 × 83,405.90
  4. Step 4: Simplify right side
    106,906.70x = 13,346,149,215.26
  5. Step 5: Solve for x
    x = 13,346,149,215.26/106,906.70
  6. Step 6: Final answer
    x = 124,839.22

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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.