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Finding the Fourth Proportional to 280,648.22, 420,780.17 and 100,729.65

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Solution

The fourth proportional to 280,648.22, 420,780.17 and 100,729.65 is: 151,025.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,648.22 : 420,780.17 = 100,729.65 : x
  2. Step 2: Convert to fraction form
    280,648.22/420,780.17 = 100,729.65/x
  3. Step 3: Cross multiply
    280,648.22x = 420,780.17 × 100,729.65
  4. Step 4: Simplify right side
    280,648.22x = 42,385,039,502.86
  5. Step 5: Solve for x
    x = 42,385,039,502.86/280,648.22
  6. Step 6: Final answer
    x = 151,025.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.