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Finding the Fourth Proportional to 151,268, 227,005.68 and 52,772

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Solution

The fourth proportional to 151,268, 227,005.68 and 52,772 is: 79,194.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,268 : 227,005.68 = 52,772 : x
  2. Step 2: Convert to fraction form
    151,268/227,005.68 = 52,772/x
  3. Step 3: Cross multiply
    151,268x = 227,005.68 × 52,772
  4. Step 4: Simplify right side
    151,268x = 11,979,543,744.96
  5. Step 5: Solve for x
    x = 11,979,543,744.96/151,268
  6. Step 6: Final answer
    x = 79,194.17

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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.