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Finding the Fourth Proportional to 332,200.98, 498,380.85 and 107,561.66

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Solution

The fourth proportional to 332,200.98, 498,380.85 and 107,561.66 is: 161,368.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,200.98 : 498,380.85 = 107,561.66 : x
  2. Step 2: Convert to fraction form
    332,200.98/498,380.85 = 107,561.66/x
  3. Step 3: Cross multiply
    332,200.98x = 498,380.85 × 107,561.66
  4. Step 4: Simplify right side
    332,200.98x = 53,606,669,046.31
  5. Step 5: Solve for x
    x = 53,606,669,046.31/332,200.98
  6. Step 6: Final answer
    x = 161,368.18

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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.