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Finding the Fourth Proportional to 115,517.38, 159,488.94 and 103,396.84

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Solution

The fourth proportional to 115,517.38, 159,488.94 and 103,396.84 is: 142,754.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,517.38 : 159,488.94 = 103,396.84 : x
  2. Step 2: Convert to fraction form
    115,517.38/159,488.94 = 103,396.84/x
  3. Step 3: Cross multiply
    115,517.38x = 159,488.94 × 103,396.84
  4. Step 4: Simplify right side
    115,517.38x = 16,490,652,410.95
  5. Step 5: Solve for x
    x = 16,490,652,410.95/115,517.38
  6. Step 6: Final answer
    x = 142,754.73

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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.