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Finding the Fourth Proportional to 159,198.41, 219,685.14 and 87,566.87

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Solution

The fourth proportional to 159,198.41, 219,685.14 and 87,566.87 is: 120,837.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,198.41 : 219,685.14 = 87,566.87 : x
  2. Step 2: Convert to fraction form
    159,198.41/219,685.14 = 87,566.87/x
  3. Step 3: Cross multiply
    159,198.41x = 219,685.14 × 87,566.87
  4. Step 4: Simplify right side
    159,198.41x = 19,237,140,095.31
  5. Step 5: Solve for x
    x = 19,237,140,095.31/159,198.41
  6. Step 6: Final answer
    x = 120,837.51

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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.