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Finding the Fourth Proportional to 206,657.92, 310,019.28 and 88,329.88

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Solution

The fourth proportional to 206,657.92, 310,019.28 and 88,329.88 is: 132,508.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,657.92 : 310,019.28 = 88,329.88 : x
  2. Step 2: Convert to fraction form
    206,657.92/310,019.28 = 88,329.88/x
  3. Step 3: Cross multiply
    206,657.92x = 310,019.28 × 88,329.88
  4. Step 4: Simplify right side
    206,657.92x = 27,383,963,808.34
  5. Step 5: Solve for x
    x = 27,383,963,808.34/206,657.92
  6. Step 6: Final answer
    x = 132,508.66

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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.