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Finding the Fourth Proportional to 218,318.50, 327,458.98 and 132,907.19

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Solution

The fourth proportional to 218,318.50, 327,458.98 and 132,907.19 is: 199,349.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,318.50 : 327,458.98 = 132,907.19 : x
  2. Step 2: Convert to fraction form
    218,318.50/327,458.98 = 132,907.19/x
  3. Step 3: Cross multiply
    218,318.50x = 327,458.98 × 132,907.19
  4. Step 4: Simplify right side
    218,318.50x = 43,521,651,400.91
  5. Step 5: Solve for x
    x = 43,521,651,400.91/218,318.50
  6. Step 6: Final answer
    x = 199,349.35

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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.