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Finding the Fourth Proportional to 194,497.28, 291,747.84 and 54,266.24

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Solution

The fourth proportional to 194,497.28, 291,747.84 and 54,266.24 is: 81,399.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,497.28 : 291,747.84 = 54,266.24 : x
  2. Step 2: Convert to fraction form
    194,497.28/291,747.84 = 54,266.24/x
  3. Step 3: Cross multiply
    194,497.28x = 291,747.84 × 54,266.24
  4. Step 4: Simplify right side
    194,497.28x = 15,832,058,304.92
  5. Step 5: Solve for x
    x = 15,832,058,304.92/194,497.28
  6. Step 6: Final answer
    x = 81,399.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.