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Finding the Fourth Proportional to 225,872.74, 338,840.36 and 76,155.85

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Solution

The fourth proportional to 225,872.74, 338,840.36 and 76,155.85 is: 114,244.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,872.74 : 338,840.36 = 76,155.85 : x
  2. Step 2: Convert to fraction form
    225,872.74/338,840.36 = 76,155.85/x
  3. Step 3: Cross multiply
    225,872.74x = 338,840.36 × 76,155.85
  4. Step 4: Simplify right side
    225,872.74x = 25,804,673,838.30
  5. Step 5: Solve for x
    x = 25,804,673,838.30/225,872.74
  6. Step 6: Final answer
    x = 114,244.31

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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.