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Finding the Fourth Proportional to 187,774.39, 281,705.90 and 61,414.16

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Solution

The fourth proportional to 187,774.39, 281,705.90 and 61,414.16 is: 92,135.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,774.39 : 281,705.90 = 61,414.16 : x
  2. Step 2: Convert to fraction form
    187,774.39/281,705.90 = 61,414.16/x
  3. Step 3: Cross multiply
    187,774.39x = 281,705.90 × 61,414.16
  4. Step 4: Simplify right side
    187,774.39x = 17,300,729,807.01
  5. Step 5: Solve for x
    x = 17,300,729,807.01/187,774.39
  6. Step 6: Final answer
    x = 92,135.73

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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.