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Finding the Fourth Proportional to 259,404.92, 357,979.38 and 146,227.67

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Solution

The fourth proportional to 259,404.92, 357,979.38 and 146,227.67 is: 201,794.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,404.92 : 357,979.38 = 146,227.67 : x
  2. Step 2: Convert to fraction form
    259,404.92/357,979.38 = 146,227.67/x
  3. Step 3: Cross multiply
    259,404.92x = 357,979.38 × 146,227.67
  4. Step 4: Simplify right side
    259,404.92x = 52,346,490,645.44
  5. Step 5: Solve for x
    x = 52,346,490,645.44/259,404.92
  6. Step 6: Final answer
    x = 201,794.52

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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.