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Finding the Fourth Proportional to 253,791.83, 380,711.24 and 83,014.52

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Solution

The fourth proportional to 253,791.83, 380,711.24 and 83,014.52 is: 124,529.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,791.83 : 380,711.24 = 83,014.52 : x
  2. Step 2: Convert to fraction form
    253,791.83/380,711.24 = 83,014.52/x
  3. Step 3: Cross multiply
    253,791.83x = 380,711.24 × 83,014.52
  4. Step 4: Simplify right side
    253,791.83x = 31,604,560,847.20
  5. Step 5: Solve for x
    x = 31,604,560,847.20/253,791.83
  6. Step 6: Final answer
    x = 124,529.47

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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.