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Finding the Fourth Proportional to 264,518.76, 396,632.34 and 137,842.88

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Solution

The fourth proportional to 264,518.76, 396,632.34 and 137,842.88 is: 206,688.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,518.76 : 396,632.34 = 137,842.88 : x
  2. Step 2: Convert to fraction form
    264,518.76/396,632.34 = 137,842.88/x
  3. Step 3: Cross multiply
    264,518.76x = 396,632.34 × 137,842.88
  4. Step 4: Simplify right side
    264,518.76x = 54,672,944,046.74
  5. Step 5: Solve for x
    x = 54,672,944,046.74/264,518.76
  6. Step 6: Final answer
    x = 206,688.34

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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.