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Finding the Fourth Proportional to 125,190.54, 187,814.43 and 42,084.54

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Solution

The fourth proportional to 125,190.54, 187,814.43 and 42,084.54 is: 63,136.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,190.54 : 187,814.43 = 42,084.54 : x
  2. Step 2: Convert to fraction form
    125,190.54/187,814.43 = 42,084.54/x
  3. Step 3: Cross multiply
    125,190.54x = 187,814.43 × 42,084.54
  4. Step 4: Simplify right side
    125,190.54x = 7,904,083,891.91
  5. Step 5: Solve for x
    x = 7,904,083,891.91/125,190.54
  6. Step 6: Final answer
    x = 63,136.43

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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.