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Finding the Fourth Proportional to 98,834.40, 148,251.78 and 46,280.76

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Solution

The fourth proportional to 98,834.40, 148,251.78 and 46,280.76 is: 69,421.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,834.40 : 148,251.78 = 46,280.76 : x
  2. Step 2: Convert to fraction form
    98,834.40/148,251.78 = 46,280.76/x
  3. Step 3: Cross multiply
    98,834.40x = 148,251.78 × 46,280.76
  4. Step 4: Simplify right side
    98,834.40x = 6,861,205,049.75
  5. Step 5: Solve for x
    x = 6,861,205,049.75/98,834.40
  6. Step 6: Final answer
    x = 69,421.22

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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.