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Finding the Fourth Proportional to 218,363.65, 327,541.81 and 98,353.85

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Solution

The fourth proportional to 218,363.65, 327,541.81 and 98,353.85 is: 147,529.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,363.65 : 327,541.81 = 98,353.85 : x
  2. Step 2: Convert to fraction form
    218,363.65/327,541.81 = 98,353.85/x
  3. Step 3: Cross multiply
    218,363.65x = 327,541.81 × 98,353.85
  4. Step 4: Simplify right side
    218,363.65x = 32,214,998,049.47
  5. Step 5: Solve for x
    x = 32,214,998,049.47/218,363.65
  6. Step 6: Final answer
    x = 147,529.12

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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.