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Finding the Fourth Proportional to 123,856.59, 185,737.34 and 52,734.14

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Solution

The fourth proportional to 123,856.59, 185,737.34 and 52,734.14 is: 79,080.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,856.59 : 185,737.34 = 52,734.14 : x
  2. Step 2: Convert to fraction form
    123,856.59/185,737.34 = 52,734.14/x
  3. Step 3: Cross multiply
    123,856.59x = 185,737.34 × 52,734.14
  4. Step 4: Simplify right side
    123,856.59x = 9,794,698,093.94
  5. Step 5: Solve for x
    x = 9,794,698,093.94/123,856.59
  6. Step 6: Final answer
    x = 79,080.96

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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.