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Finding the Fourth Proportional to 202,511.38, 279,468.30 and 111,866.98

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Solution

The fourth proportional to 202,511.38, 279,468.30 and 111,866.98 is: 154,377.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,511.38 : 279,468.30 = 111,866.98 : x
  2. Step 2: Convert to fraction form
    202,511.38/279,468.30 = 111,866.98/x
  3. Step 3: Cross multiply
    202,511.38x = 279,468.30 × 111,866.98
  4. Step 4: Simplify right side
    202,511.38x = 31,263,274,726.73
  5. Step 5: Solve for x
    x = 31,263,274,726.73/202,511.38
  6. Step 6: Final answer
    x = 154,377.87

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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.