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Finding the Fourth Proportional to 263,711.92, 363,954.36 and 148,995.40

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Solution

The fourth proportional to 263,711.92, 363,954.36 and 148,995.40 is: 205,631.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,711.92 : 363,954.36 = 148,995.40 : x
  2. Step 2: Convert to fraction form
    263,711.92/363,954.36 = 148,995.40/x
  3. Step 3: Cross multiply
    263,711.92x = 363,954.36 × 148,995.40
  4. Step 4: Simplify right side
    263,711.92x = 54,227,525,449.94
  5. Step 5: Solve for x
    x = 54,227,525,449.94/263,711.92
  6. Step 6: Final answer
    x = 205,631.68

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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.