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Finding the Fourth Proportional to 254,686.97, 382,076.57 and 83,917.80

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Solution

The fourth proportional to 254,686.97, 382,076.57 and 83,917.80 is: 125,891.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,686.97 : 382,076.57 = 83,917.80 : x
  2. Step 2: Convert to fraction form
    254,686.97/382,076.57 = 83,917.80/x
  3. Step 3: Cross multiply
    254,686.97x = 382,076.57 × 83,917.80
  4. Step 4: Simplify right side
    254,686.97x = 32,063,024,766.36
  5. Step 5: Solve for x
    x = 32,063,024,766.36/254,686.97
  6. Step 6: Final answer
    x = 125,891.90

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1.5x scale

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.