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Finding the Fourth Proportional to 194,814.62, 292,218.74 and 61,694.66

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Solution

The fourth proportional to 194,814.62, 292,218.74 and 61,694.66 is: 92,540.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,814.62 : 292,218.74 = 61,694.66 : x
  2. Step 2: Convert to fraction form
    194,814.62/292,218.74 = 61,694.66/x
  3. Step 3: Cross multiply
    194,814.62x = 292,218.74 × 61,694.66
  4. Step 4: Simplify right side
    194,814.62x = 18,028,336,463.36
  5. Step 5: Solve for x
    x = 18,028,336,463.36/194,814.62
  6. Step 6: Final answer
    x = 92,540.98

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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.