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Finding the Fourth Proportional to 187,874.66, 281,807.04 and 54,791.66

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Solution

The fourth proportional to 187,874.66, 281,807.04 and 54,791.66 is: 82,186.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,874.66 : 281,807.04 = 54,791.66 : x
  2. Step 2: Convert to fraction form
    187,874.66/281,807.04 = 54,791.66/x
  3. Step 3: Cross multiply
    187,874.66x = 281,807.04 × 54,791.66
  4. Step 4: Simplify right side
    187,874.66x = 15,440,675,521.29
  5. Step 5: Solve for x
    x = 15,440,675,521.29/187,874.66
  6. Step 6: Final answer
    x = 82,186.05

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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.