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Finding the Fourth Proportional to 194,147.70, 267,859.17 and 158,275.86

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Solution

The fourth proportional to 194,147.70, 267,859.17 and 158,275.86 is: 218,367.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,147.70 : 267,859.17 = 158,275.86 : x
  2. Step 2: Convert to fraction form
    194,147.70/267,859.17 = 158,275.86/x
  3. Step 3: Cross multiply
    194,147.70x = 267,859.17 × 158,275.86
  4. Step 4: Simplify right side
    194,147.70x = 42,395,640,490.64
  5. Step 5: Solve for x
    x = 42,395,640,490.64/194,147.70
  6. Step 6: Final answer
    x = 218,367.98

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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.