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Finding the Fourth Proportional to 296,105.67, 408,516.15 and 194,187.69

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Solution

The fourth proportional to 296,105.67, 408,516.15 and 194,187.69 is: 267,907.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,105.67 : 408,516.15 = 194,187.69 : x
  2. Step 2: Convert to fraction form
    296,105.67/408,516.15 = 194,187.69/x
  3. Step 3: Cross multiply
    296,105.67x = 408,516.15 × 194,187.69
  4. Step 4: Simplify right side
    296,105.67x = 79,328,807,496.19
  5. Step 5: Solve for x
    x = 79,328,807,496.19/296,105.67
  6. Step 6: Final answer
    x = 267,907.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.