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Finding the Fourth Proportional to 106,283, 146,685.12 and 68,549.96

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Solution

The fourth proportional to 106,283, 146,685.12 and 68,549.96 is: 94,608.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,283 : 146,685.12 = 68,549.96 : x
  2. Step 2: Convert to fraction form
    106,283/146,685.12 = 68,549.96/x
  3. Step 3: Cross multiply
    106,283x = 146,685.12 × 68,549.96
  4. Step 4: Simplify right side
    106,283x = 10,055,259,108.60
  5. Step 5: Solve for x
    x = 10,055,259,108.60/106,283
  6. Step 6: Final answer
    x = 94,608.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.