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Finding the Fourth Proportional to 243,856.68, 365,819.94 and 75,391.65

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Solution

The fourth proportional to 243,856.68, 365,819.94 and 75,391.65 is: 113,098.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,856.68 : 365,819.94 = 75,391.65 : x
  2. Step 2: Convert to fraction form
    243,856.68/365,819.94 = 75,391.65/x
  3. Step 3: Cross multiply
    243,856.68x = 365,819.94 × 75,391.65
  4. Step 4: Simplify right side
    243,856.68x = 27,579,768,879.50
  5. Step 5: Solve for x
    x = 27,579,768,879.50/243,856.68
  6. Step 6: Final answer
    x = 113,098.27

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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.