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Finding the Fourth Proportional to 306,642.92, 459,797.43 and 106,909.61

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Solution

The fourth proportional to 306,642.92, 459,797.43 and 106,909.61 is: 160,306.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,642.92 : 459,797.43 = 106,909.61 : x
  2. Step 2: Convert to fraction form
    306,642.92/459,797.43 = 106,909.61/x
  3. Step 3: Cross multiply
    306,642.92x = 459,797.43 × 106,909.61
  4. Step 4: Simplify right side
    306,642.92x = 49,156,763,920.30
  5. Step 5: Solve for x
    x = 49,156,763,920.30/306,642.92
  6. Step 6: Final answer
    x = 160,306.21

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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.