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Finding the Fourth Proportional to 223,691.44, 308,706.96 and 128,214.04

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Solution

The fourth proportional to 223,691.44, 308,706.96 and 128,214.04 is: 176,942.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,691.44 : 308,706.96 = 128,214.04 : x
  2. Step 2: Convert to fraction form
    223,691.44/308,706.96 = 128,214.04/x
  3. Step 3: Cross multiply
    223,691.44x = 308,706.96 × 128,214.04
  4. Step 4: Simplify right side
    223,691.44x = 39,580,566,517.72
  5. Step 5: Solve for x
    x = 39,580,566,517.72/223,691.44
  6. Step 6: Final answer
    x = 176,942.70

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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.