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Finding the Fourth Proportional to 215,829.20, 323,820.60 and 208,149.20

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Solution

The fourth proportional to 215,829.20, 323,820.60 and 208,149.20 is: 312,297.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,829.20 : 323,820.60 = 208,149.20 : x
  2. Step 2: Convert to fraction form
    215,829.20/323,820.60 = 208,149.20/x
  3. Step 3: Cross multiply
    215,829.20x = 323,820.60 × 208,149.20
  4. Step 4: Simplify right side
    215,829.20x = 67,402,998,833.52
  5. Step 5: Solve for x
    x = 67,402,998,833.52/215,829.20
  6. Step 6: Final answer
    x = 312,297.87

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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.