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Finding the Fourth Proportional to 215,458.80, 323,335.82 and 75,217.42

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Solution

The fourth proportional to 215,458.80, 323,335.82 and 75,217.42 is: 112,877.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,458.80 : 323,335.82 = 75,217.42 : x
  2. Step 2: Convert to fraction form
    215,458.80/323,335.82 = 75,217.42/x
  3. Step 3: Cross multiply
    215,458.80x = 323,335.82 × 75,217.42
  4. Step 4: Simplify right side
    215,458.80x = 24,320,486,173.98
  5. Step 5: Solve for x
    x = 24,320,486,173.98/215,458.80
  6. Step 6: Final answer
    x = 112,877.66

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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.