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Finding the Fourth Proportional to 203,492.10, 305,238.15 and 180,941.70

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Solution

The fourth proportional to 203,492.10, 305,238.15 and 180,941.70 is: 271,412.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,492.10 : 305,238.15 = 180,941.70 : x
  2. Step 2: Convert to fraction form
    203,492.10/305,238.15 = 180,941.70/x
  3. Step 3: Cross multiply
    203,492.10x = 305,238.15 × 180,941.70
  4. Step 4: Simplify right side
    203,492.10x = 55,230,309,765.86
  5. Step 5: Solve for x
    x = 55,230,309,765.86/203,492.10
  6. Step 6: Final answer
    x = 271,412.55

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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.