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Finding the Fourth Proportional to 115,376.38, 159,205.85 and 66,967.14

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Solution

The fourth proportional to 115,376.38, 159,205.85 and 66,967.14 is: 92,406.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,376.38 : 159,205.85 = 66,967.14 : x
  2. Step 2: Convert to fraction form
    115,376.38/159,205.85 = 66,967.14/x
  3. Step 3: Cross multiply
    115,376.38x = 159,205.85 × 66,967.14
  4. Step 4: Simplify right side
    115,376.38x = 10,661,559,314.90
  5. Step 5: Solve for x
    x = 10,661,559,314.90/115,376.38
  6. Step 6: Final answer
    x = 92,406.78

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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.