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Finding the Fourth Proportional to 290,521.32, 435,807.11 and 80,159.24

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Solution

The fourth proportional to 290,521.32, 435,807.11 and 80,159.24 is: 120,245.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,521.32 : 435,807.11 = 80,159.24 : x
  2. Step 2: Convert to fraction form
    290,521.32/435,807.11 = 80,159.24/x
  3. Step 3: Cross multiply
    290,521.32x = 435,807.11 × 80,159.24
  4. Step 4: Simplify right side
    290,521.32x = 34,933,964,745.56
  5. Step 5: Solve for x
    x = 34,933,964,745.56/290,521.32
  6. Step 6: Final answer
    x = 120,245.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.