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Finding the Fourth Proportional to 144,942.80, 217,414.20 and 125,502.80

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Solution

The fourth proportional to 144,942.80, 217,414.20 and 125,502.80 is: 188,254.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,942.80 : 217,414.20 = 125,502.80 : x
  2. Step 2: Convert to fraction form
    144,942.80/217,414.20 = 125,502.80/x
  3. Step 3: Cross multiply
    144,942.80x = 217,414.20 × 125,502.80
  4. Step 4: Simplify right side
    144,942.80x = 27,286,090,859.76
  5. Step 5: Solve for x
    x = 27,286,090,859.76/144,942.80
  6. Step 6: Final answer
    x = 188,254.20

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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.