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Finding the Fourth Proportional to 157,654.66, 217,568.04 and 86,039.28

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Solution

The fourth proportional to 157,654.66, 217,568.04 and 86,039.28 is: 118,736.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,654.66 : 217,568.04 = 86,039.28 : x
  2. Step 2: Convert to fraction form
    157,654.66/217,568.04 = 86,039.28/x
  3. Step 3: Cross multiply
    157,654.66x = 217,568.04 × 86,039.28
  4. Step 4: Simplify right side
    157,654.66x = 18,719,397,512.61
  5. Step 5: Solve for x
    x = 18,719,397,512.61/157,654.66
  6. Step 6: Final answer
    x = 118,736.72

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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.