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Finding the Fourth Proportional to 206,898.40, 310,347.60 and 88,581.70

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Solution

The fourth proportional to 206,898.40, 310,347.60 and 88,581.70 is: 132,872.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,898.40 : 310,347.60 = 88,581.70 : x
  2. Step 2: Convert to fraction form
    206,898.40/310,347.60 = 88,581.70/x
  3. Step 3: Cross multiply
    206,898.40x = 310,347.60 × 88,581.70
  4. Step 4: Simplify right side
    206,898.40x = 27,491,117,998.92
  5. Step 5: Solve for x
    x = 27,491,117,998.92/206,898.40
  6. Step 6: Final answer
    x = 132,872.55

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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.