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Finding the Fourth Proportional to 157,882.08, 217,874.74 and 86,260.58

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Solution

The fourth proportional to 157,882.08, 217,874.74 and 86,260.58 is: 119,038.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,882.08 : 217,874.74 = 86,260.58 : x
  2. Step 2: Convert to fraction form
    157,882.08/217,874.74 = 86,260.58/x
  3. Step 3: Cross multiply
    157,882.08x = 217,874.74 × 86,260.58
  4. Step 4: Simplify right side
    157,882.08x = 18,794,001,439.75
  5. Step 5: Solve for x
    x = 18,794,001,439.75/157,882.08
  6. Step 6: Final answer
    x = 119,038.22

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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.