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Finding the Fourth Proportional to 298,167.24, 447,253.28 and 108,763.32

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Solution

The fourth proportional to 298,167.24, 447,253.28 and 108,763.32 is: 163,145.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,167.24 : 447,253.28 = 108,763.32 : x
  2. Step 2: Convert to fraction form
    298,167.24/447,253.28 = 108,763.32/x
  3. Step 3: Cross multiply
    298,167.24x = 447,253.28 × 108,763.32
  4. Step 4: Simplify right side
    298,167.24x = 48,644,751,613.69
  5. Step 5: Solve for x
    x = 48,644,751,613.69/298,167.24
  6. Step 6: Final answer
    x = 163,145.86

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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.