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Finding the Fourth Proportional to 150,039.51, 207,046.86 and 82,043.30

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Solution

The fourth proportional to 150,039.51, 207,046.86 and 82,043.30 is: 113,215.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,039.51 : 207,046.86 = 82,043.30 : x
  2. Step 2: Convert to fraction form
    150,039.51/207,046.86 = 82,043.30/x
  3. Step 3: Cross multiply
    150,039.51x = 207,046.86 × 82,043.30
  4. Step 4: Simplify right side
    150,039.51x = 16,986,806,613.80
  5. Step 5: Solve for x
    x = 16,986,806,613.80/150,039.51
  6. Step 6: Final answer
    x = 113,215.56

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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.