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Finding the Fourth Proportional to 204,024.60, 306,036.90 and 144,538.20

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Solution

The fourth proportional to 204,024.60, 306,036.90 and 144,538.20 is: 216,807.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,024.60 : 306,036.90 = 144,538.20 : x
  2. Step 2: Convert to fraction form
    204,024.60/306,036.90 = 144,538.20/x
  3. Step 3: Cross multiply
    204,024.60x = 306,036.90 × 144,538.20
  4. Step 4: Simplify right side
    204,024.60x = 44,234,022,659.58
  5. Step 5: Solve for x
    x = 44,234,022,659.58/204,024.60
  6. Step 6: Final answer
    x = 216,807.30

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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.