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Finding the Fourth Proportional to 290,049.30, 400,261.86 and 160,980.24

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Solution

The fourth proportional to 290,049.30, 400,261.86 and 160,980.24 is: 222,149.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,049.30 : 400,261.86 = 160,980.24 : x
  2. Step 2: Convert to fraction form
    290,049.30/400,261.86 = 160,980.24/x
  3. Step 3: Cross multiply
    290,049.30x = 400,261.86 × 160,980.24
  4. Step 4: Simplify right side
    290,049.30x = 64,434,250,285.65
  5. Step 5: Solve for x
    x = 64,434,250,285.65/290,049.30
  6. Step 6: Final answer
    x = 222,149.30

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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.