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Finding the Fourth Proportional to 225,704.64, 338,501.76 and 67,890.24

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Solution

The fourth proportional to 225,704.64, 338,501.76 and 67,890.24 is: 101,818.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,704.64 : 338,501.76 = 67,890.24 : x
  2. Step 2: Convert to fraction form
    225,704.64/338,501.76 = 67,890.24/x
  3. Step 3: Cross multiply
    225,704.64x = 338,501.76 × 67,890.24
  4. Step 4: Simplify right side
    225,704.64x = 22,980,965,726.82
  5. Step 5: Solve for x
    x = 22,980,965,726.82/225,704.64
  6. Step 6: Final answer
    x = 101,818.76

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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.