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Finding the Fourth Proportional to 125,148.32, 187,605.84 and 41,984

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Solution

The fourth proportional to 125,148.32, 187,605.84 and 41,984 is: 62,936.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,148.32 : 187,605.84 = 41,984 : x
  2. Step 2: Convert to fraction form
    125,148.32/187,605.84 = 41,984/x
  3. Step 3: Cross multiply
    125,148.32x = 187,605.84 × 41,984
  4. Step 4: Simplify right side
    125,148.32x = 7,876,443,586.56
  5. Step 5: Solve for x
    x = 7,876,443,586.56/125,148.32
  6. Step 6: Final answer
    x = 62,936.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.