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Finding the Fourth Proportional to 101,745.98, 140,475.33 and 65,463.65

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Solution

The fourth proportional to 101,745.98, 140,475.33 and 65,463.65 is: 90,382.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,745.98 : 140,475.33 = 65,463.65 : x
  2. Step 2: Convert to fraction form
    101,745.98/140,475.33 = 65,463.65/x
  3. Step 3: Cross multiply
    101,745.98x = 140,475.33 × 65,463.65
  4. Step 4: Simplify right side
    101,745.98x = 9,196,027,836.75
  5. Step 5: Solve for x
    x = 9,196,027,836.75/101,745.98
  6. Step 6: Final answer
    x = 90,382.22

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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.