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Finding the Fourth Proportional to 194,299.29, 291,266.42 and 67,861.53

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Solution

The fourth proportional to 194,299.29, 291,266.42 and 67,861.53 is: 101,728.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,299.29 : 291,266.42 = 67,861.53 : x
  2. Step 2: Convert to fraction form
    194,299.29/291,266.42 = 67,861.53/x
  3. Step 3: Cross multiply
    194,299.29x = 291,266.42 × 67,861.53
  4. Step 4: Simplify right side
    194,299.29x = 19,765,784,559.52
  5. Step 5: Solve for x
    x = 19,765,784,559.52/194,299.29
  6. Step 6: Final answer
    x = 101,728.55

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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.