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Finding the Fourth Proportional to 223,456.64, 308,335.50 and 132,778.88

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Solution

The fourth proportional to 223,456.64, 308,335.50 and 132,778.88 is: 183,214.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,456.64 : 308,335.50 = 132,778.88 : x
  2. Step 2: Convert to fraction form
    223,456.64/308,335.50 = 132,778.88/x
  3. Step 3: Cross multiply
    223,456.64x = 308,335.50 × 132,778.88
  4. Step 4: Simplify right side
    223,456.64x = 40,940,442,354.24
  5. Step 5: Solve for x
    x = 40,940,442,354.24/223,456.64
  6. Step 6: Final answer
    x = 183,214.26

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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.