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Finding the Fourth Proportional to 92,559.96, 138,781.62 and 78,524.91

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Solution

The fourth proportional to 92,559.96, 138,781.62 and 78,524.91 is: 117,737.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,559.96 : 138,781.62 = 78,524.91 : x
  2. Step 2: Convert to fraction form
    92,559.96/138,781.62 = 78,524.91/x
  3. Step 3: Cross multiply
    92,559.96x = 138,781.62 × 78,524.91
  4. Step 4: Simplify right side
    92,559.96x = 10,897,814,220.15
  5. Step 5: Solve for x
    x = 10,897,814,220.15/92,559.96
  6. Step 6: Final answer
    x = 117,737.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.