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Finding the Fourth Proportional to 255,197.61, 382,796.42 and 68,204.25

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Solution

The fourth proportional to 255,197.61, 382,796.42 and 68,204.25 is: 102,306.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,197.61 : 382,796.42 = 68,204.25 : x
  2. Step 2: Convert to fraction form
    255,197.61/382,796.42 = 68,204.25/x
  3. Step 3: Cross multiply
    255,197.61x = 382,796.42 × 68,204.25
  4. Step 4: Simplify right side
    255,197.61x = 26,108,342,387.76
  5. Step 5: Solve for x
    x = 26,108,342,387.76/255,197.61
  6. Step 6: Final answer
    x = 102,306.38

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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.