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Finding the Fourth Proportional to 157,784.88, 217,744.92 and 86,165.76

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Solution

The fourth proportional to 157,784.88, 217,744.92 and 86,165.76 is: 118,909.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,784.88 : 217,744.92 = 86,165.76 : x
  2. Step 2: Convert to fraction form
    157,784.88/217,744.92 = 86,165.76/x
  3. Step 3: Cross multiply
    157,784.88x = 217,744.92 × 86,165.76
  4. Step 4: Simplify right side
    157,784.88x = 18,762,156,517.94
  5. Step 5: Solve for x
    x = 18,762,156,517.94/157,784.88
  6. Step 6: Final answer
    x = 118,909.72

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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.