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Finding the Fourth Proportional to 218,545.50, 327,876.58 and 78,318.30

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Solution

The fourth proportional to 218,545.50, 327,876.58 and 78,318.30 is: 117,498.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,545.50 : 327,876.58 = 78,318.30 : x
  2. Step 2: Convert to fraction form
    218,545.50/327,876.58 = 78,318.30/x
  3. Step 3: Cross multiply
    218,545.50x = 327,876.58 × 78,318.30
  4. Step 4: Simplify right side
    218,545.50x = 25,678,736,355.41
  5. Step 5: Solve for x
    x = 25,678,736,355.41/218,545.50
  6. Step 6: Final answer
    x = 117,498.35

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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.