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Finding the Fourth Proportional to 203,474, 280,794.12 and 114,050

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Solution

The fourth proportional to 203,474, 280,794.12 and 114,050 is: 157,389

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,474 : 280,794.12 = 114,050 : x
  2. Step 2: Convert to fraction form
    203,474/280,794.12 = 114,050/x
  3. Step 3: Cross multiply
    203,474x = 280,794.12 × 114,050
  4. Step 4: Simplify right side
    203,474x = 32,024,569,386
  5. Step 5: Solve for x
    x = 32,024,569,386/203,474
  6. Step 6: Final answer
    x = 157,389

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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.