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Finding the Fourth Proportional to 157,494.72, 217,337.94 and 85,876.14

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Solution

The fourth proportional to 157,494.72, 217,337.94 and 85,876.14 is: 118,506.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,494.72 : 217,337.94 = 85,876.14 : x
  2. Step 2: Convert to fraction form
    157,494.72/217,337.94 = 85,876.14/x
  3. Step 3: Cross multiply
    157,494.72x = 217,337.94 × 85,876.14
  4. Step 4: Simplify right side
    157,494.72x = 18,664,143,362.75
  5. Step 5: Solve for x
    x = 18,664,143,362.75/157,494.72
  6. Step 6: Final answer
    x = 118,506.47

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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.