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Finding the Fourth Proportional to 280,491.92, 420,737.88 and 70,129.86

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Solution

The fourth proportional to 280,491.92, 420,737.88 and 70,129.86 is: 105,194.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,491.92 : 420,737.88 = 70,129.86 : x
  2. Step 2: Convert to fraction form
    280,491.92/420,737.88 = 70,129.86/x
  3. Step 3: Cross multiply
    280,491.92x = 420,737.88 × 70,129.86
  4. Step 4: Simplify right side
    280,491.92x = 29,506,288,621.10
  5. Step 5: Solve for x
    x = 29,506,288,621.10/280,491.92
  6. Step 6: Final answer
    x = 105,194.79

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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.