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Finding the Fourth Proportional to 290,072.34, 400,295.25 and 161,010.72

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Solution

The fourth proportional to 290,072.34, 400,295.25 and 161,010.72 is: 222,192.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,072.34 : 400,295.25 = 161,010.72 : x
  2. Step 2: Convert to fraction form
    290,072.34/400,295.25 = 161,010.72/x
  3. Step 3: Cross multiply
    290,072.34x = 400,295.25 × 161,010.72
  4. Step 4: Simplify right side
    290,072.34x = 64,451,826,415.08
  5. Step 5: Solve for x
    x = 64,451,826,415.08/290,072.34
  6. Step 6: Final answer
    x = 222,192.25

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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.