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Finding the Fourth Proportional to 194,329.71, 291,660.72 and 76,084.09

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Solution

The fourth proportional to 194,329.71, 291,660.72 and 76,084.09 is: 114,191.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,329.71 : 291,660.72 = 76,084.09 : x
  2. Step 2: Convert to fraction form
    194,329.71/291,660.72 = 76,084.09/x
  3. Step 3: Cross multiply
    194,329.71x = 291,660.72 × 76,084.09
  4. Step 4: Simplify right side
    194,329.71x = 22,190,740,469.94
  5. Step 5: Solve for x
    x = 22,190,740,469.94/194,329.71
  6. Step 6: Final answer
    x = 114,191.19

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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.