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Finding the Fourth Proportional to 125,257.65, 187,884.87 and 30,487.98

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Solution

The fourth proportional to 125,257.65, 187,884.87 and 30,487.98 is: 45,731.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,257.65 : 187,884.87 = 30,487.98 : x
  2. Step 2: Convert to fraction form
    125,257.65/187,884.87 = 30,487.98/x
  3. Step 3: Cross multiply
    125,257.65x = 187,884.87 × 30,487.98
  4. Step 4: Simplify right side
    125,257.65x = 5,728,230,158.86
  5. Step 5: Solve for x
    x = 5,728,230,158.86/125,257.65
  6. Step 6: Final answer
    x = 45,731.58

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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.