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Finding the Fourth Proportional to 194,452.75, 268,344.98 and 105,028.75

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Solution

The fourth proportional to 194,452.75, 268,344.98 and 105,028.75 is: 144,939.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,452.75 : 268,344.98 = 105,028.75 : x
  2. Step 2: Convert to fraction form
    194,452.75/268,344.98 = 105,028.75/x
  3. Step 3: Cross multiply
    194,452.75x = 268,344.98 × 105,028.75
  4. Step 4: Simplify right side
    194,452.75x = 28,183,937,818.18
  5. Step 5: Solve for x
    x = 28,183,937,818.18/194,452.75
  6. Step 6: Final answer
    x = 144,939.77

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Why These Related Problems?

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