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Finding the Fourth Proportional to 203,793.70, 305,107.35 and 180,465.70

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Solution

The fourth proportional to 203,793.70, 305,107.35 and 180,465.70 is: 270,182.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,793.70 : 305,107.35 = 180,465.70 : x
  2. Step 2: Convert to fraction form
    203,793.70/305,107.35 = 180,465.70/x
  3. Step 3: Cross multiply
    203,793.70x = 305,107.35 × 180,465.70
  4. Step 4: Simplify right side
    203,793.70x = 55,061,411,492.90
  5. Step 5: Solve for x
    x = 55,061,411,492.90/203,793.70
  6. Step 6: Final answer
    x = 270,182.11

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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.