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Finding the Fourth Proportional to 283,165.26, 424,747.38 and 194,148.90

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Solution

The fourth proportional to 283,165.26, 424,747.38 and 194,148.90 is: 291,223.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,165.26 : 424,747.38 = 194,148.90 : x
  2. Step 2: Convert to fraction form
    283,165.26/424,747.38 = 194,148.90/x
  3. Step 3: Cross multiply
    283,165.26x = 424,747.38 × 194,148.90
  4. Step 4: Simplify right side
    283,165.26x = 82,464,236,604.88
  5. Step 5: Solve for x
    x = 82,464,236,604.88/283,165.26
  6. Step 6: Final answer
    x = 291,223.00

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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.