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Finding the Fourth Proportional to 187,169.54, 258,294.11 and 102,286.62

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Solution

The fourth proportional to 187,169.54, 258,294.11 and 102,286.62 is: 141,155.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,169.54 : 258,294.11 = 102,286.62 : x
  2. Step 2: Convert to fraction form
    187,169.54/258,294.11 = 102,286.62/x
  3. Step 3: Cross multiply
    187,169.54x = 258,294.11 × 102,286.62
  4. Step 4: Simplify right side
    187,169.54x = 26,420,030,966.38
  5. Step 5: Solve for x
    x = 26,420,030,966.38/187,169.54
  6. Step 6: Final answer
    x = 141,155.62

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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.