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Finding the Fourth Proportional to 126,052.96, 173,952.25 and 69,464.38

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Solution

The fourth proportional to 126,052.96, 173,952.25 and 69,464.38 is: 95,860.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,052.96 : 173,952.25 = 69,464.38 : x
  2. Step 2: Convert to fraction form
    126,052.96/173,952.25 = 69,464.38/x
  3. Step 3: Cross multiply
    126,052.96x = 173,952.25 × 69,464.38
  4. Step 4: Simplify right side
    126,052.96x = 12,083,485,195.86
  5. Step 5: Solve for x
    x = 12,083,485,195.86/126,052.96
  6. Step 6: Final answer
    x = 95,860.38

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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.