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Finding the Fourth Proportional to 227,292.73, 313,798.52 and 202,072.57

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Solution

The fourth proportional to 227,292.73, 313,798.52 and 202,072.57 is: 278,979.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,292.73 : 313,798.52 = 202,072.57 : x
  2. Step 2: Convert to fraction form
    227,292.73/313,798.52 = 202,072.57/x
  3. Step 3: Cross multiply
    227,292.73x = 313,798.52 × 202,072.57
  4. Step 4: Simplify right side
    227,292.73x = 63,410,073,119.28
  5. Step 5: Solve for x
    x = 63,410,073,119.28/227,292.73
  6. Step 6: Final answer
    x = 278,979.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.