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Finding the Fourth Proportional to 288,142.30, 397,632.79 and 159,081.82

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Solution

The fourth proportional to 288,142.30, 397,632.79 and 159,081.82 is: 219,530.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,142.30 : 397,632.79 = 159,081.82 : x
  2. Step 2: Convert to fraction form
    288,142.30/397,632.79 = 159,081.82/x
  3. Step 3: Cross multiply
    288,142.30x = 397,632.79 × 159,081.82
  4. Step 4: Simplify right side
    288,142.30x = 63,256,147,924.88
  5. Step 5: Solve for x
    x = 63,256,147,924.88/288,142.30
  6. Step 6: Final answer
    x = 219,530.93

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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.