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Finding the Fourth Proportional to 132,920.97, 199,209.23 and 53,992.14

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Solution

The fourth proportional to 132,920.97, 199,209.23 and 53,992.14 is: 80,918.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,920.97 : 199,209.23 = 53,992.14 : x
  2. Step 2: Convert to fraction form
    132,920.97/199,209.23 = 53,992.14/x
  3. Step 3: Cross multiply
    132,920.97x = 199,209.23 × 53,992.14
  4. Step 4: Simplify right side
    132,920.97x = 10,755,732,635.45
  5. Step 5: Solve for x
    x = 10,755,732,635.45/132,920.97
  6. Step 6: Final answer
    x = 80,918.25

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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.