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Finding the Fourth Proportional to 311,959.61, 467,972.22 and 101,613.95

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Solution

The fourth proportional to 311,959.61, 467,972.22 and 101,613.95 is: 152,431.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,959.61 : 467,972.22 = 101,613.95 : x
  2. Step 2: Convert to fraction form
    311,959.61/467,972.22 = 101,613.95/x
  3. Step 3: Cross multiply
    311,959.61x = 467,972.22 × 101,613.95
  4. Step 4: Simplify right side
    311,959.61x = 47,552,505,764.47
  5. Step 5: Solve for x
    x = 47,552,505,764.47/311,959.61
  6. Step 6: Final answer
    x = 152,431.61

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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.