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Finding the Fourth Proportional to 150,998.48, 208,372.20 and 83,934.80

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Solution

The fourth proportional to 150,998.48, 208,372.20 and 83,934.80 is: 115,826.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,998.48 : 208,372.20 = 83,934.80 : x
  2. Step 2: Convert to fraction form
    150,998.48/208,372.20 = 83,934.80/x
  3. Step 3: Cross multiply
    150,998.48x = 208,372.20 × 83,934.80
  4. Step 4: Simplify right side
    150,998.48x = 17,489,678,932.56
  5. Step 5: Solve for x
    x = 17,489,678,932.56/150,998.48
  6. Step 6: Final answer
    x = 115,826.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.