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Finding the Fourth Proportional to 204,261.47, 306,392.24 and 54,502.32

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Solution

The fourth proportional to 204,261.47, 306,392.24 and 54,502.32 is: 81,753.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,261.47 : 306,392.24 = 54,502.32 : x
  2. Step 2: Convert to fraction form
    204,261.47/306,392.24 = 54,502.32/x
  3. Step 3: Cross multiply
    204,261.47x = 306,392.24 × 54,502.32
  4. Step 4: Simplify right side
    204,261.47x = 16,699,087,165.19
  5. Step 5: Solve for x
    x = 16,699,087,165.19/204,261.47
  6. Step 6: Final answer
    x = 81,753.49

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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.