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Finding the Fourth Proportional to 252,151.68, 378,269.10 and 83,673.84

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Solution

The fourth proportional to 252,151.68, 378,269.10 and 83,673.84 is: 125,524.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,151.68 : 378,269.10 = 83,673.84 : x
  2. Step 2: Convert to fraction form
    252,151.68/378,269.10 = 83,673.84/x
  3. Step 3: Cross multiply
    252,151.68x = 378,269.10 × 83,673.84
  4. Step 4: Simplify right side
    252,151.68x = 31,651,228,150.34
  5. Step 5: Solve for x
    x = 31,651,228,150.34/252,151.68
  6. Step 6: Final answer
    x = 125,524.56

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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.