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Finding the Fourth Proportional to 206,584.59, 310,007.98 and 88,256.82

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Solution

The fourth proportional to 206,584.59, 310,007.98 and 88,256.82 is: 132,441.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,584.59 : 310,007.98 = 88,256.82 : x
  2. Step 2: Convert to fraction form
    206,584.59/310,007.98 = 88,256.82/x
  3. Step 3: Cross multiply
    206,584.59x = 310,007.98 × 88,256.82
  4. Step 4: Simplify right side
    206,584.59x = 27,360,319,265.83
  5. Step 5: Solve for x
    x = 27,360,319,265.83/206,584.59
  6. Step 6: Final answer
    x = 132,441.24

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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.