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Finding the Fourth Proportional to 360,642.78, 541,134.27 and 160,945.38

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Solution

The fourth proportional to 360,642.78, 541,134.27 and 160,945.38 is: 241,493.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,642.78 : 541,134.27 = 160,945.38 : x
  2. Step 2: Convert to fraction form
    360,642.78/541,134.27 = 160,945.38/x
  3. Step 3: Cross multiply
    360,642.78x = 541,134.27 × 160,945.38
  4. Step 4: Simplify right side
    360,642.78x = 87,093,060,716.17
  5. Step 5: Solve for x
    x = 87,093,060,716.17/360,642.78
  6. Step 6: Final answer
    x = 241,493.98

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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.