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Finding the Fourth Proportional to 259,872.56, 358,624.14 and 140,640.56

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Solution

The fourth proportional to 259,872.56, 358,624.14 and 140,640.56 is: 194,083.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,872.56 : 358,624.14 = 140,640.56 : x
  2. Step 2: Convert to fraction form
    259,872.56/358,624.14 = 140,640.56/x
  3. Step 3: Cross multiply
    259,872.56x = 358,624.14 × 140,640.56
  4. Step 4: Simplify right side
    259,872.56x = 50,437,099,879.12
  5. Step 5: Solve for x
    x = 50,437,099,879.12/259,872.56
  6. Step 6: Final answer
    x = 194,083.98

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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.