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Finding the Fourth Proportional to 297,761.86, 446,391.57 and 129,155.24

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Solution

The fourth proportional to 297,761.86, 446,391.57 and 129,155.24 is: 193,623.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,761.86 : 446,391.57 = 129,155.24 : x
  2. Step 2: Convert to fraction form
    297,761.86/446,391.57 = 129,155.24/x
  3. Step 3: Cross multiply
    297,761.86x = 446,391.57 × 129,155.24
  4. Step 4: Simplify right side
    297,761.86x = 57,653,810,357.33
  5. Step 5: Solve for x
    x = 57,653,810,357.33/297,761.86
  6. Step 6: Final answer
    x = 193,623.90

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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.