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Finding the Fourth Proportional to 206,858.40, 310,287.60 and 88,760.40

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Solution

The fourth proportional to 206,858.40, 310,287.60 and 88,760.40 is: 133,140.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,858.40 : 310,287.60 = 88,760.40 : x
  2. Step 2: Convert to fraction form
    206,858.40/310,287.60 = 88,760.40/x
  3. Step 3: Cross multiply
    206,858.40x = 310,287.60 × 88,760.40
  4. Step 4: Simplify right side
    206,858.40x = 27,541,251,491.04
  5. Step 5: Solve for x
    x = 27,541,251,491.04/206,858.40
  6. Step 6: Final answer
    x = 133,140.60

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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.