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Finding the Fourth Proportional to 204,489.20, 306,077.70 and 145,440.20

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Solution

The fourth proportional to 204,489.20, 306,077.70 and 145,440.20 is: 217,693.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,489.20 : 306,077.70 = 145,440.20 : x
  2. Step 2: Convert to fraction form
    204,489.20/306,077.70 = 145,440.20/x
  3. Step 3: Cross multiply
    204,489.20x = 306,077.70 × 145,440.20
  4. Step 4: Simplify right side
    204,489.20x = 44,516,001,903.54
  5. Step 5: Solve for x
    x = 44,516,001,903.54/204,489.20
  6. Step 6: Final answer
    x = 217,693.66

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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.