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Finding the Fourth Proportional to 206,400.48, 309,594.24 and 58,656.48

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Solution

The fourth proportional to 206,400.48, 309,594.24 and 58,656.48 is: 87,982.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,400.48 : 309,594.24 = 58,656.48 : x
  2. Step 2: Convert to fraction form
    206,400.48/309,594.24 = 58,656.48/x
  3. Step 3: Cross multiply
    206,400.48x = 309,594.24 × 58,656.48
  4. Step 4: Simplify right side
    206,400.48x = 18,159,708,346.68
  5. Step 5: Solve for x
    x = 18,159,708,346.68/206,400.48
  6. Step 6: Final answer
    x = 87,982.88

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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.