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Finding the Fourth Proportional to 203,478.10, 305,217.15 and 180,927.70

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Solution

The fourth proportional to 203,478.10, 305,217.15 and 180,927.70 is: 271,391.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,478.10 : 305,217.15 = 180,927.70 : x
  2. Step 2: Convert to fraction form
    203,478.10/305,217.15 = 180,927.70/x
  3. Step 3: Cross multiply
    203,478.10x = 305,217.15 × 180,927.70
  4. Step 4: Simplify right side
    203,478.10x = 55,222,236,950.06
  5. Step 5: Solve for x
    x = 55,222,236,950.06/203,478.10
  6. Step 6: Final answer
    x = 271,391.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.