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Finding the Fourth Proportional to 102,868.38, 141,642.78 and 90,049.83

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Solution

The fourth proportional to 102,868.38, 141,642.78 and 90,049.83 is: 123,992.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,868.38 : 141,642.78 = 90,049.83 : x
  2. Step 2: Convert to fraction form
    102,868.38/141,642.78 = 90,049.83/x
  3. Step 3: Cross multiply
    102,868.38x = 141,642.78 × 90,049.83
  4. Step 4: Simplify right side
    102,868.38x = 12,754,907,390.88
  5. Step 5: Solve for x
    x = 12,754,907,390.88/102,868.38
  6. Step 6: Final answer
    x = 123,992.50

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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.