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Finding the Fourth Proportional to 253,394.67, 349,687.76 and 140,227.95

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Solution

The fourth proportional to 253,394.67, 349,687.76 and 140,227.95 is: 193,516.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,394.67 : 349,687.76 = 140,227.95 : x
  2. Step 2: Convert to fraction form
    253,394.67/349,687.76 = 140,227.95/x
  3. Step 3: Cross multiply
    253,394.67x = 349,687.76 × 140,227.95
  4. Step 4: Simplify right side
    253,394.67x = 49,035,997,023.75
  5. Step 5: Solve for x
    x = 49,035,997,023.75/253,394.67
  6. Step 6: Final answer
    x = 193,516.29

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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.