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Finding the Fourth Proportional to 225,767.25, 338,412.21 and 83,521.17

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Solution

The fourth proportional to 225,767.25, 338,412.21 and 83,521.17 is: 125,193.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,767.25 : 338,412.21 = 83,521.17 : x
  2. Step 2: Convert to fraction form
    225,767.25/338,412.21 = 83,521.17/x
  3. Step 3: Cross multiply
    225,767.25x = 338,412.21 × 83,521.17
  4. Step 4: Simplify right side
    225,767.25x = 28,264,583,721.49
  5. Step 5: Solve for x
    x = 28,264,583,721.49/225,767.25
  6. Step 6: Final answer
    x = 125,193.46

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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.