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Finding the Fourth Proportional to 269,841.24, 404,964.36 and 101,527.56

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Solution

The fourth proportional to 269,841.24, 404,964.36 and 101,527.56 is: 152,367.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,841.24 : 404,964.36 = 101,527.56 : x
  2. Step 2: Convert to fraction form
    269,841.24/404,964.36 = 101,527.56/x
  3. Step 3: Cross multiply
    269,841.24x = 404,964.36 × 101,527.56
  4. Step 4: Simplify right side
    269,841.24x = 41,115,043,357.76
  5. Step 5: Solve for x
    x = 41,115,043,357.76/269,841.24
  6. Step 6: Final answer
    x = 152,367.53

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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.