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Finding the Fourth Proportional to 203,535.38, 280,695 and 127,061.57

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Solution

The fourth proportional to 203,535.38, 280,695 and 127,061.57 is: 175,230.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,535.38 : 280,695 = 127,061.57 : x
  2. Step 2: Convert to fraction form
    203,535.38/280,695 = 127,061.57/x
  3. Step 3: Cross multiply
    203,535.38x = 280,695 × 127,061.57
  4. Step 4: Simplify right side
    203,535.38x = 35,665,547,391.15
  5. Step 5: Solve for x
    x = 35,665,547,391.15/203,535.38
  6. Step 6: Final answer
    x = 175,230.21

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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.