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Finding the Fourth Proportional to 225,924.16, 338,787.80 and 76,136.52

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Solution

The fourth proportional to 225,924.16, 338,787.80 and 76,136.52 is: 114,171.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,924.16 : 338,787.80 = 76,136.52 : x
  2. Step 2: Convert to fraction form
    225,924.16/338,787.80 = 76,136.52/x
  3. Step 3: Cross multiply
    225,924.16x = 338,787.80 × 76,136.52
  4. Step 4: Simplify right side
    225,924.16x = 25,794,124,110.46
  5. Step 5: Solve for x
    x = 25,794,124,110.46/225,924.16
  6. Step 6: Final answer
    x = 114,171.61

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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.