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Finding the Fourth Proportional to 187,808.41, 281,713.13 and 54,691.93

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Solution

The fourth proportional to 187,808.41, 281,713.13 and 54,691.93 is: 82,038.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,808.41 : 281,713.13 = 54,691.93 : x
  2. Step 2: Convert to fraction form
    187,808.41/281,713.13 = 54,691.93/x
  3. Step 3: Cross multiply
    187,808.41x = 281,713.13 × 54,691.93
  4. Step 4: Simplify right side
    187,808.41x = 15,407,434,786.04
  5. Step 5: Solve for x
    x = 15,407,434,786.04/187,808.41
  6. Step 6: Final answer
    x = 82,038.04

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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.