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Finding the Fourth Proportional to 268,451.82, 402,680.15 and 81,463.32

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Solution

The fourth proportional to 268,451.82, 402,680.15 and 81,463.32 is: 122,195.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,451.82 : 402,680.15 = 81,463.32 : x
  2. Step 2: Convert to fraction form
    268,451.82/402,680.15 = 81,463.32/x
  3. Step 3: Cross multiply
    268,451.82x = 402,680.15 × 81,463.32
  4. Step 4: Simplify right side
    268,451.82x = 32,803,659,700.04
  5. Step 5: Solve for x
    x = 32,803,659,700.04/268,451.82
  6. Step 6: Final answer
    x = 122,195.71

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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.