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Finding the Fourth Proportional to 92,593.61, 138,081.06 and 82,387.61

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Solution

The fourth proportional to 92,593.61, 138,081.06 and 82,387.61 is: 122,861.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,593.61 : 138,081.06 = 82,387.61 : x
  2. Step 2: Convert to fraction form
    92,593.61/138,081.06 = 82,387.61/x
  3. Step 3: Cross multiply
    92,593.61x = 138,081.06 × 82,387.61
  4. Step 4: Simplify right side
    92,593.61x = 11,376,167,829.26
  5. Step 5: Solve for x
    x = 11,376,167,829.26/92,593.61
  6. Step 6: Final answer
    x = 122,861.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.