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Finding the Fourth Proportional to 159,824, 239,747.52 and 61,328

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Solution

The fourth proportional to 159,824, 239,747.52 and 61,328 is: 91,996.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,824 : 239,747.52 = 61,328 : x
  2. Step 2: Convert to fraction form
    159,824/239,747.52 = 61,328/x
  3. Step 3: Cross multiply
    159,824x = 239,747.52 × 61,328
  4. Step 4: Simplify right side
    159,824x = 14,703,235,906.56
  5. Step 5: Solve for x
    x = 14,703,235,906.56/159,824
  6. Step 6: Final answer
    x = 91,996.42

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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.