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Finding the Fourth Proportional to 263,411.92, 363,508.46 and 142,553.22

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Solution

The fourth proportional to 263,411.92, 363,508.46 and 142,553.22 is: 196,723.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,411.92 : 363,508.46 = 142,553.22 : x
  2. Step 2: Convert to fraction form
    263,411.92/363,508.46 = 142,553.22/x
  3. Step 3: Cross multiply
    263,411.92x = 363,508.46 × 142,553.22
  4. Step 4: Simplify right side
    263,411.92x = 51,819,301,470.24
  5. Step 5: Solve for x
    x = 51,819,301,470.24/263,411.92
  6. Step 6: Final answer
    x = 196,723.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.