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Finding the Fourth Proportional to 290,723.36, 401,188.88 and 161,661.20

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Solution

The fourth proportional to 290,723.36, 401,188.88 and 161,661.20 is: 223,087.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,723.36 : 401,188.88 = 161,661.20 : x
  2. Step 2: Convert to fraction form
    290,723.36/401,188.88 = 161,661.20/x
  3. Step 3: Cross multiply
    290,723.36x = 401,188.88 × 161,661.20
  4. Step 4: Simplify right side
    290,723.36x = 64,856,674,165.66
  5. Step 5: Solve for x
    x = 64,856,674,165.66/290,723.36
  6. Step 6: Final answer
    x = 223,087.25

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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.