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Finding the Fourth Proportional to 194,434.59, 291,766.71 and 82,107.54

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Solution

The fourth proportional to 194,434.59, 291,766.71 and 82,107.54 is: 123,209.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,434.59 : 291,766.71 = 82,107.54 : x
  2. Step 2: Convert to fraction form
    194,434.59/291,766.71 = 82,107.54/x
  3. Step 3: Cross multiply
    194,434.59x = 291,766.71 × 82,107.54
  4. Step 4: Simplify right side
    194,434.59x = 23,956,246,658.04
  5. Step 5: Solve for x
    x = 23,956,246,658.04/194,434.59
  6. Step 6: Final answer
    x = 123,209.80

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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.