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Finding the Fourth Proportional to 223,677.69, 308,573.49 and 132,982.20

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Solution

The fourth proportional to 223,677.69, 308,573.49 and 132,982.20 is: 183,454.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,677.69 : 308,573.49 = 132,982.20 : x
  2. Step 2: Convert to fraction form
    223,677.69/308,573.49 = 132,982.20/x
  3. Step 3: Cross multiply
    223,677.69x = 308,573.49 × 132,982.20
  4. Step 4: Simplify right side
    223,677.69x = 41,034,781,561.88
  5. Step 5: Solve for x
    x = 41,034,781,561.88/223,677.69
  6. Step 6: Final answer
    x = 183,454.96

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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.