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Finding the Fourth Proportional to 159,144.89, 238,569 and 109,248.48

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Solution

The fourth proportional to 159,144.89, 238,569 and 109,248.48 is: 163,770.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,144.89 : 238,569 = 109,248.48 : x
  2. Step 2: Convert to fraction form
    159,144.89/238,569 = 109,248.48/x
  3. Step 3: Cross multiply
    159,144.89x = 238,569 × 109,248.48
  4. Step 4: Simplify right side
    159,144.89x = 26,063,300,625.12
  5. Step 5: Solve for x
    x = 26,063,300,625.12/159,144.89
  6. Step 6: Final answer
    x = 163,770.90

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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.