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Finding the Fourth Proportional to 255,215.25, 382,793.69 and 68,241.33

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Solution

The fourth proportional to 255,215.25, 382,793.69 and 68,241.33 is: 102,354.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,215.25 : 382,793.69 = 68,241.33 : x
  2. Step 2: Convert to fraction form
    255,215.25/382,793.69 = 68,241.33/x
  3. Step 3: Cross multiply
    255,215.25x = 382,793.69 × 68,241.33
  4. Step 4: Simplify right side
    255,215.25x = 26,122,350,691.81
  5. Step 5: Solve for x
    x = 26,122,350,691.81/255,215.25
  6. Step 6: Final answer
    x = 102,354.19

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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.