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Finding the Fourth Proportional to 194,264.50, 268,104.22 and 113,687.22

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Solution

The fourth proportional to 194,264.50, 268,104.22 and 113,687.22 is: 156,899.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,264.50 : 268,104.22 = 113,687.22 : x
  2. Step 2: Convert to fraction form
    194,264.50/268,104.22 = 113,687.22/x
  3. Step 3: Cross multiply
    194,264.50x = 268,104.22 × 113,687.22
  4. Step 4: Simplify right side
    194,264.50x = 30,480,023,442.07
  5. Step 5: Solve for x
    x = 30,480,023,442.07/194,264.50
  6. Step 6: Final answer
    x = 156,899.61

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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.