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Finding the Fourth Proportional to 157,691.40, 217,606.14 and 86,070.84

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Solution

The fourth proportional to 157,691.40, 217,606.14 and 86,070.84 is: 118,773.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,691.40 : 217,606.14 = 86,070.84 : x
  2. Step 2: Convert to fraction form
    157,691.40/217,606.14 = 86,070.84/x
  3. Step 3: Cross multiply
    157,691.40x = 217,606.14 × 86,070.84
  4. Step 4: Simplify right side
    157,691.40x = 18,729,543,258.96
  5. Step 5: Solve for x
    x = 18,729,543,258.96/157,691.40
  6. Step 6: Final answer
    x = 118,773.40

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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.