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Finding the Fourth Proportional to 157,882.21, 217,874.91 and 86,260.70

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Solution

The fourth proportional to 157,882.21, 217,874.91 and 86,260.70 is: 119,038.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,882.21 : 217,874.91 = 86,260.70 : x
  2. Step 2: Convert to fraction form
    157,882.21/217,874.91 = 86,260.70/x
  3. Step 3: Cross multiply
    157,882.21x = 217,874.91 × 86,260.70
  4. Step 4: Simplify right side
    157,882.21x = 18,794,042,249.04
  5. Step 5: Solve for x
    x = 18,794,042,249.04/157,882.21
  6. Step 6: Final answer
    x = 119,038.38

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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.