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Finding the Fourth Proportional to 206,785.76, 310,295.76 and 88,446.56

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Solution

The fourth proportional to 206,785.76, 310,295.76 and 88,446.56 is: 132,719.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,785.76 : 310,295.76 = 88,446.56 : x
  2. Step 2: Convert to fraction form
    206,785.76/310,295.76 = 88,446.56/x
  3. Step 3: Cross multiply
    206,785.76x = 310,295.76 × 88,446.56
  4. Step 4: Simplify right side
    206,785.76x = 27,444,592,554.59
  5. Step 5: Solve for x
    x = 27,444,592,554.59/206,785.76
  6. Step 6: Final answer
    x = 132,719.93

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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.