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Finding the Fourth Proportional to 123,546.59, 185,524.85 and 77,094.71

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Solution

The fourth proportional to 123,546.59, 185,524.85 and 77,094.71 is: 115,769.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,546.59 : 185,524.85 = 77,094.71 : x
  2. Step 2: Convert to fraction form
    123,546.59/185,524.85 = 77,094.71/x
  3. Step 3: Cross multiply
    123,546.59x = 185,524.85 × 77,094.71
  4. Step 4: Simplify right side
    123,546.59x = 14,302,984,508.54
  5. Step 5: Solve for x
    x = 14,302,984,508.54/123,546.59
  6. Step 6: Final answer
    x = 115,769.97

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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.