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Finding the Fourth Proportional to 205,147.46, 308,262.41 and 110,447.66

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Solution

The fourth proportional to 205,147.46, 308,262.41 and 110,447.66 is: 165,962.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,147.46 : 308,262.41 = 110,447.66 : x
  2. Step 2: Convert to fraction form
    205,147.46/308,262.41 = 110,447.66/x
  3. Step 3: Cross multiply
    205,147.46x = 308,262.41 × 110,447.66
  4. Step 4: Simplify right side
    205,147.46x = 34,046,859,756.91
  5. Step 5: Solve for x
    x = 34,046,859,756.91/205,147.46
  6. Step 6: Final answer
    x = 165,962.87

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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.