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Finding the Fourth Proportional to 138,654.28, 207,981.41 and 45,160.03

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Solution

The fourth proportional to 138,654.28, 207,981.41 and 45,160.03 is: 67,740.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,654.28 : 207,981.41 = 45,160.03 : x
  2. Step 2: Convert to fraction form
    138,654.28/207,981.41 = 45,160.03/x
  3. Step 3: Cross multiply
    138,654.28x = 207,981.41 × 45,160.03
  4. Step 4: Simplify right side
    138,654.28x = 9,392,446,715.04
  5. Step 5: Solve for x
    x = 9,392,446,715.04/138,654.28
  6. Step 6: Final answer
    x = 67,740.04

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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.