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Finding the Fourth Proportional to 178,111.36, 266,821.17 and 159,183.28

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Solution

The fourth proportional to 178,111.36, 266,821.17 and 159,183.28 is: 238,465.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,111.36 : 266,821.17 = 159,183.28 : x
  2. Step 2: Convert to fraction form
    178,111.36/266,821.17 = 159,183.28/x
  3. Step 3: Cross multiply
    178,111.36x = 266,821.17 × 159,183.28
  4. Step 4: Simplify right side
    178,111.36x = 42,473,469,014.04
  5. Step 5: Solve for x
    x = 42,473,469,014.04/178,111.36
  6. Step 6: Final answer
    x = 238,465.81

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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.