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Finding the Fourth Proportional to 157,462.38, 235,982.16 and 86,277.96

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Solution

The fourth proportional to 157,462.38, 235,982.16 and 86,277.96 is: 129,301.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,462.38 : 235,982.16 = 86,277.96 : x
  2. Step 2: Convert to fraction form
    157,462.38/235,982.16 = 86,277.96/x
  3. Step 3: Cross multiply
    157,462.38x = 235,982.16 × 86,277.96
  4. Step 4: Simplify right side
    157,462.38x = 20,360,059,361.19
  5. Step 5: Solve for x
    x = 20,360,059,361.19/157,462.38
  6. Step 6: Final answer
    x = 129,301.10

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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.