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Finding the Fourth Proportional to 203,568.30, 280,975.77 and 131,020.38

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Solution

The fourth proportional to 203,568.30, 280,975.77 and 131,020.38 is: 180,841.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,568.30 : 280,975.77 = 131,020.38 : x
  2. Step 2: Convert to fraction form
    203,568.30/280,975.77 = 131,020.38/x
  3. Step 3: Cross multiply
    203,568.30x = 280,975.77 × 131,020.38
  4. Step 4: Simplify right side
    203,568.30x = 36,813,552,156.19
  5. Step 5: Solve for x
    x = 36,813,552,156.19/203,568.30
  6. Step 6: Final answer
    x = 180,841.28

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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.