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Finding the Fourth Proportional to 254,838.63, 382,255.52 and 67,850.13

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Solution

The fourth proportional to 254,838.63, 382,255.52 and 67,850.13 is: 101,774.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,838.63 : 382,255.52 = 67,850.13 : x
  2. Step 2: Convert to fraction form
    254,838.63/382,255.52 = 67,850.13/x
  3. Step 3: Cross multiply
    254,838.63x = 382,255.52 × 67,850.13
  4. Step 4: Simplify right side
    254,838.63x = 25,936,086,385.97
  5. Step 5: Solve for x
    x = 25,936,086,385.97/254,838.63
  6. Step 6: Final answer
    x = 101,774.55

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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.