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Finding the Fourth Proportional to 206,595.65, 285,101.98 and 115,951.61

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Solution

The fourth proportional to 206,595.65, 285,101.98 and 115,951.61 is: 160,013.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,595.65 : 285,101.98 = 115,951.61 : x
  2. Step 2: Convert to fraction form
    206,595.65/285,101.98 = 115,951.61/x
  3. Step 3: Cross multiply
    206,595.65x = 285,101.98 × 115,951.61
  4. Step 4: Simplify right side
    206,595.65x = 33,058,034,386.38
  5. Step 5: Solve for x
    x = 33,058,034,386.38/206,595.65
  6. Step 6: Final answer
    x = 160,013.22

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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.