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Finding the Fourth Proportional to 252,197.97, 378,296.24 and 83,731.07

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Solution

The fourth proportional to 252,197.97, 378,296.24 and 83,731.07 is: 125,596.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,197.97 : 378,296.24 = 83,731.07 : x
  2. Step 2: Convert to fraction form
    252,197.97/378,296.24 = 83,731.07/x
  3. Step 3: Cross multiply
    252,197.97x = 378,296.24 × 83,731.07
  4. Step 4: Simplify right side
    252,197.97x = 31,675,146,642.04
  5. Step 5: Solve for x
    x = 31,675,146,642.04/252,197.97
  6. Step 6: Final answer
    x = 125,596.36

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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.