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Finding the Fourth Proportional to 159,409.34, 238,851.57 and 111,382.82

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Solution

The fourth proportional to 159,409.34, 238,851.57 and 111,382.82 is: 166,890.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,409.34 : 238,851.57 = 111,382.82 : x
  2. Step 2: Convert to fraction form
    159,409.34/238,851.57 = 111,382.82/x
  3. Step 3: Cross multiply
    159,409.34x = 238,851.57 × 111,382.82
  4. Step 4: Simplify right side
    159,409.34x = 26,603,960,233.77
  5. Step 5: Solve for x
    x = 26,603,960,233.77/159,409.34
  6. Step 6: Final answer
    x = 166,890.86

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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.