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Finding the Fourth Proportional to 194,306.92, 291,470.78 and 61,197.55

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Solution

The fourth proportional to 194,306.92, 291,470.78 and 61,197.55 is: 91,799.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,306.92 : 291,470.78 = 61,197.55 : x
  2. Step 2: Convert to fraction form
    194,306.92/291,470.78 = 61,197.55/x
  3. Step 3: Cross multiply
    194,306.92x = 291,470.78 × 61,197.55
  4. Step 4: Simplify right side
    194,306.92x = 17,837,297,056.91
  5. Step 5: Solve for x
    x = 17,837,297,056.91/194,306.92
  6. Step 6: Final answer
    x = 91,799.60

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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.