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Finding the Fourth Proportional to 263,162.92, 363,164.56 and 142,303.90

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Solution

The fourth proportional to 263,162.92, 363,164.56 and 142,303.90 is: 196,379.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,162.92 : 363,164.56 = 142,303.90 : x
  2. Step 2: Convert to fraction form
    263,162.92/363,164.56 = 142,303.90/x
  3. Step 3: Cross multiply
    263,162.92x = 363,164.56 × 142,303.90
  4. Step 4: Simplify right side
    263,162.92x = 51,679,733,229.78
  5. Step 5: Solve for x
    x = 51,679,733,229.78/263,162.92
  6. Step 6: Final answer
    x = 196,379.24

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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.