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Finding the Fourth Proportional to 281,101.20, 421,723.80 and 162,560.40

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Solution

The fourth proportional to 281,101.20, 421,723.80 and 162,560.40 is: 243,882.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,101.20 : 421,723.80 = 162,560.40 : x
  2. Step 2: Convert to fraction form
    281,101.20/421,723.80 = 162,560.40/x
  3. Step 3: Cross multiply
    281,101.20x = 421,723.80 × 162,560.40
  4. Step 4: Simplify right side
    281,101.20x = 68,555,589,617.52
  5. Step 5: Solve for x
    x = 68,555,589,617.52/281,101.20
  6. Step 6: Final answer
    x = 243,882.24

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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.