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Finding the Fourth Proportional to 120,206.50, 180,309.75 and 32,654.50

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Solution

The fourth proportional to 120,206.50, 180,309.75 and 32,654.50 is: 48,981.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,206.50 : 180,309.75 = 32,654.50 : x
  2. Step 2: Convert to fraction form
    120,206.50/180,309.75 = 32,654.50/x
  3. Step 3: Cross multiply
    120,206.50x = 180,309.75 × 32,654.50
  4. Step 4: Simplify right side
    120,206.50x = 5,887,924,731.38
  5. Step 5: Solve for x
    x = 5,887,924,731.38/120,206.50
  6. Step 6: Final answer
    x = 48,981.75

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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.