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Finding the Fourth Proportional to 187,894.10, 281,938.04 and 88,064.43

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Solution

The fourth proportional to 187,894.10, 281,938.04 and 88,064.43 is: 132,142.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,894.10 : 281,938.04 = 88,064.43 : x
  2. Step 2: Convert to fraction form
    187,894.10/281,938.04 = 88,064.43/x
  3. Step 3: Cross multiply
    187,894.10x = 281,938.04 × 88,064.43
  4. Step 4: Simplify right side
    187,894.10x = 24,828,712,347.60
  5. Step 5: Solve for x
    x = 24,828,712,347.60/187,894.10
  6. Step 6: Final answer
    x = 132,142.06

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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.