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Finding the Fourth Proportional to 206,854.54, 310,097.12 and 88,464.94

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Solution

The fourth proportional to 206,854.54, 310,097.12 and 88,464.94 is: 132,618.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,854.54 : 310,097.12 = 88,464.94 : x
  2. Step 2: Convert to fraction form
    206,854.54/310,097.12 = 88,464.94/x
  3. Step 3: Cross multiply
    206,854.54x = 310,097.12 × 88,464.94
  4. Step 4: Simplify right side
    206,854.54x = 27,432,723,114.97
  5. Step 5: Solve for x
    x = 27,432,723,114.97/206,854.54
  6. Step 6: Final answer
    x = 132,618.42

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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.