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Finding the Fourth Proportional to 123,382.85, 185,148.01 and 113,344.52

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Solution

The fourth proportional to 123,382.85, 185,148.01 and 113,344.52 is: 170,084.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,382.85 : 185,148.01 = 113,344.52 : x
  2. Step 2: Convert to fraction form
    123,382.85/185,148.01 = 113,344.52/x
  3. Step 3: Cross multiply
    123,382.85x = 185,148.01 × 113,344.52
  4. Step 4: Simplify right side
    123,382.85x = 20,985,512,579.80
  5. Step 5: Solve for x
    x = 20,985,512,579.80/123,382.85
  6. Step 6: Final answer
    x = 170,084.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.