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Finding the Fourth Proportional to 187,599.70, 281,414.19 and 54,482.14

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Solution

The fourth proportional to 187,599.70, 281,414.19 and 54,482.14 is: 81,727.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,599.70 : 281,414.19 = 54,482.14 : x
  2. Step 2: Convert to fraction form
    187,599.70/281,414.19 = 54,482.14/x
  3. Step 3: Cross multiply
    187,599.70x = 281,414.19 × 54,482.14
  4. Step 4: Simplify right side
    187,599.70x = 15,332,047,297.57
  5. Step 5: Solve for x
    x = 15,332,047,297.57/187,599.70
  6. Step 6: Final answer
    x = 81,727.46

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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.