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Finding the Fourth Proportional to 204,097.44, 306,140.50 and 54,339.02

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Solution

The fourth proportional to 204,097.44, 306,140.50 and 54,339.02 is: 81,507.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,097.44 : 306,140.50 = 54,339.02 : x
  2. Step 2: Convert to fraction form
    204,097.44/306,140.50 = 54,339.02/x
  3. Step 3: Cross multiply
    204,097.44x = 306,140.50 × 54,339.02
  4. Step 4: Simplify right side
    204,097.44x = 16,635,374,752.31
  5. Step 5: Solve for x
    x = 16,635,374,752.31/204,097.44
  6. Step 6: Final answer
    x = 81,507.02

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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.