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Finding the Fourth Proportional to 168,194.69, 231,920.12 and 137,472.47

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Solution

The fourth proportional to 168,194.69, 231,920.12 and 137,472.47 is: 189,557.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,194.69 : 231,920.12 = 137,472.47 : x
  2. Step 2: Convert to fraction form
    168,194.69/231,920.12 = 137,472.47/x
  3. Step 3: Cross multiply
    168,194.69x = 231,920.12 × 137,472.47
  4. Step 4: Simplify right side
    168,194.69x = 31,882,631,739.10
  5. Step 5: Solve for x
    x = 31,882,631,739.10/168,194.69
  6. Step 6: Final answer
    x = 189,557.90

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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.