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Finding the Fourth Proportional to 194,763.10, 268,894.65 and 149,353.69

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Solution

The fourth proportional to 194,763.10, 268,894.65 and 149,353.69 is: 206,201.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,763.10 : 268,894.65 = 149,353.69 : x
  2. Step 2: Convert to fraction form
    194,763.10/268,894.65 = 149,353.69/x
  3. Step 3: Cross multiply
    194,763.10x = 268,894.65 × 149,353.69
  4. Step 4: Simplify right side
    194,763.10x = 40,160,408,198.76
  5. Step 5: Solve for x
    x = 40,160,408,198.76/194,763.10
  6. Step 6: Final answer
    x = 206,201.32

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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.