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Finding the Fourth Proportional to 356,126.98, 491,436.56 and 194,951.16

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Solution

The fourth proportional to 356,126.98, 491,436.56 and 194,951.16 is: 269,022.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,126.98 : 491,436.56 = 194,951.16 : x
  2. Step 2: Convert to fraction form
    356,126.98/491,436.56 = 194,951.16/x
  3. Step 3: Cross multiply
    356,126.98x = 491,436.56 × 194,951.16
  4. Step 4: Simplify right side
    356,126.98x = 95,806,127,438.41
  5. Step 5: Solve for x
    x = 95,806,127,438.41/356,126.98
  6. Step 6: Final answer
    x = 269,022.38

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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.