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Finding the Fourth Proportional to 194,045.85, 267,782.88 and 109,162.98

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Solution

The fourth proportional to 194,045.85, 267,782.88 and 109,162.98 is: 150,644.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,045.85 : 267,782.88 = 109,162.98 : x
  2. Step 2: Convert to fraction form
    194,045.85/267,782.88 = 109,162.98/x
  3. Step 3: Cross multiply
    194,045.85x = 267,782.88 × 109,162.98
  4. Step 4: Simplify right side
    194,045.85x = 29,231,977,173.78
  5. Step 5: Solve for x
    x = 29,231,977,173.78/194,045.85
  6. Step 6: Final answer
    x = 150,644.69

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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.