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Finding the Fourth Proportional to 125,187.84, 187,812.48 and 36,442.14

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Solution

The fourth proportional to 125,187.84, 187,812.48 and 36,442.14 is: 54,672.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,187.84 : 187,812.48 = 36,442.14 : x
  2. Step 2: Convert to fraction form
    125,187.84/187,812.48 = 36,442.14/x
  3. Step 3: Cross multiply
    125,187.84x = 187,812.48 × 36,442.14
  4. Step 4: Simplify right side
    125,187.84x = 6,844,288,689.91
  5. Step 5: Solve for x
    x = 6,844,288,689.91/125,187.84
  6. Step 6: Final answer
    x = 54,672.15

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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.