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Finding the Fourth Proportional to 208,046.66, 311,882.66 and 74,833.28

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Solution

The fourth proportional to 208,046.66, 311,882.66 and 74,833.28 is: 112,182.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,046.66 : 311,882.66 = 74,833.28 : x
  2. Step 2: Convert to fraction form
    208,046.66/311,882.66 = 74,833.28/x
  3. Step 3: Cross multiply
    208,046.66x = 311,882.66 × 74,833.28
  4. Step 4: Simplify right side
    208,046.66x = 23,339,202,422.92
  5. Step 5: Solve for x
    x = 23,339,202,422.92/208,046.66
  6. Step 6: Final answer
    x = 112,182.54

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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.