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Finding the Fourth Proportional to 194,393.66, 291,590.50 and 54,151.88

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Solution

The fourth proportional to 194,393.66, 291,590.50 and 54,151.88 is: 81,227.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,393.66 : 291,590.50 = 54,151.88 : x
  2. Step 2: Convert to fraction form
    194,393.66/291,590.50 = 54,151.88/x
  3. Step 3: Cross multiply
    194,393.66x = 291,590.50 × 54,151.88
  4. Step 4: Simplify right side
    194,393.66x = 15,790,173,765.14
  5. Step 5: Solve for x
    x = 15,790,173,765.14/194,393.66
  6. Step 6: Final answer
    x = 81,227.82

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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.