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Finding the Fourth Proportional to 259,294.38, 357,826.24 and 140,062.38

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Solution

The fourth proportional to 259,294.38, 357,826.24 and 140,062.38 is: 193,286.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,294.38 : 357,826.24 = 140,062.38 : x
  2. Step 2: Convert to fraction form
    259,294.38/357,826.24 = 140,062.38/x
  3. Step 3: Cross multiply
    259,294.38x = 357,826.24 × 140,062.38
  4. Step 4: Simplify right side
    259,294.38x = 50,117,994,800.85
  5. Step 5: Solve for x
    x = 50,117,994,800.85/259,294.38
  6. Step 6: Final answer
    x = 193,286.08

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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.