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Finding the Fourth Proportional to 454,205.80, 681,308.70 and 138,621.70

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Solution

The fourth proportional to 454,205.80, 681,308.70 and 138,621.70 is: 207,932.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,205.80 : 681,308.70 = 138,621.70 : x
  2. Step 2: Convert to fraction form
    454,205.80/681,308.70 = 138,621.70/x
  3. Step 3: Cross multiply
    454,205.80x = 681,308.70 × 138,621.70
  4. Step 4: Simplify right side
    454,205.80x = 94,444,170,218.79
  5. Step 5: Solve for x
    x = 94,444,170,218.79/454,205.80
  6. Step 6: Final answer
    x = 207,932.55

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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.