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Finding the Fourth Proportional to 125,093.34, 187,659.46 and 42,006.78

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Solution

The fourth proportional to 125,093.34, 187,659.46 and 42,006.78 is: 63,016.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,093.34 : 187,659.46 = 42,006.78 : x
  2. Step 2: Convert to fraction form
    125,093.34/187,659.46 = 42,006.78/x
  3. Step 3: Cross multiply
    125,093.34x = 187,659.46 × 42,006.78
  4. Step 4: Simplify right side
    125,093.34x = 7,882,970,171.08
  5. Step 5: Solve for x
    x = 7,882,970,171.08/125,093.34
  6. Step 6: Final answer
    x = 63,016.70

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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.