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Finding the Fourth Proportional to 216,002.90, 323,961.15 and 103,682.90

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Solution

The fourth proportional to 216,002.90, 323,961.15 and 103,682.90 is: 155,503.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,002.90 : 323,961.15 = 103,682.90 : x
  2. Step 2: Convert to fraction form
    216,002.90/323,961.15 = 103,682.90/x
  3. Step 3: Cross multiply
    216,002.90x = 323,961.15 × 103,682.90
  4. Step 4: Simplify right side
    216,002.90x = 33,589,231,519.34
  5. Step 5: Solve for x
    x = 33,589,231,519.34/216,002.90
  6. Step 6: Final answer
    x = 155,503.61

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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.