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Finding the Fourth Proportional to 290,839.11, 401,382.21 and 161,801.89

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Solution

The fourth proportional to 290,839.11, 401,382.21 and 161,801.89 is: 223,300.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,839.11 : 401,382.21 = 161,801.89 : x
  2. Step 2: Convert to fraction form
    290,839.11/401,382.21 = 161,801.89/x
  3. Step 3: Cross multiply
    290,839.11x = 401,382.21 × 161,801.89
  4. Step 4: Simplify right side
    290,839.11x = 64,944,400,190.38
  5. Step 5: Solve for x
    x = 64,944,400,190.38/290,839.11
  6. Step 6: Final answer
    x = 223,300.09

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Why These Related Problems?

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