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Finding the Fourth Proportional to 187,473.96, 258,714.05 and 102,591

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Solution

The fourth proportional to 187,473.96, 258,714.05 and 102,591 is: 141,575.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,473.96 : 258,714.05 = 102,591 : x
  2. Step 2: Convert to fraction form
    187,473.96/258,714.05 = 102,591/x
  3. Step 3: Cross multiply
    187,473.96x = 258,714.05 × 102,591
  4. Step 4: Simplify right side
    187,473.96x = 26,541,732,590.60
  5. Step 5: Solve for x
    x = 26,541,732,590.60/187,473.96
  6. Step 6: Final answer
    x = 141,575.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.