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Finding the Fourth Proportional to 274,024.65, 411,036.98 and 96,731.85

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Solution

The fourth proportional to 274,024.65, 411,036.98 and 96,731.85 is: 145,097.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,024.65 : 411,036.98 = 96,731.85 : x
  2. Step 2: Convert to fraction form
    274,024.65/411,036.98 = 96,731.85/x
  3. Step 3: Cross multiply
    274,024.65x = 411,036.98 × 96,731.85
  4. Step 4: Simplify right side
    274,024.65x = 39,760,367,010.15
  5. Step 5: Solve for x
    x = 39,760,367,010.15/274,024.65
  6. Step 6: Final answer
    x = 145,097.78

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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.