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Finding the Fourth Proportional to 276,042.42, 414,151.12 and 98,545.50

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Solution

The fourth proportional to 276,042.42, 414,151.12 and 98,545.50 is: 147,849.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,042.42 : 414,151.12 = 98,545.50 : x
  2. Step 2: Convert to fraction form
    276,042.42/414,151.12 = 98,545.50/x
  3. Step 3: Cross multiply
    276,042.42x = 414,151.12 × 98,545.50
  4. Step 4: Simplify right side
    276,042.42x = 40,812,729,195.96
  5. Step 5: Solve for x
    x = 40,812,729,195.96/276,042.42
  6. Step 6: Final answer
    x = 147,849.48

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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.