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Finding the Fourth Proportional to 206,694.54, 310,074.30 and 88,366.50

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Solution

The fourth proportional to 206,694.54, 310,074.30 and 88,366.50 is: 132,563.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,694.54 : 310,074.30 = 88,366.50 : x
  2. Step 2: Convert to fraction form
    206,694.54/310,074.30 = 88,366.50/x
  3. Step 3: Cross multiply
    206,694.54x = 310,074.30 × 88,366.50
  4. Step 4: Simplify right side
    206,694.54x = 27,400,180,630.95
  5. Step 5: Solve for x
    x = 27,400,180,630.95/206,694.54
  6. Step 6: Final answer
    x = 132,563.64

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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.