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Finding the Fourth Proportional to 200,269.23, 276,347.10 and 159,537.09

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Solution

The fourth proportional to 200,269.23, 276,347.10 and 159,537.09 is: 220,141.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,269.23 : 276,347.10 = 159,537.09 : x
  2. Step 2: Convert to fraction form
    200,269.23/276,347.10 = 159,537.09/x
  3. Step 3: Cross multiply
    200,269.23x = 276,347.10 × 159,537.09
  4. Step 4: Simplify right side
    200,269.23x = 44,087,612,163.94
  5. Step 5: Solve for x
    x = 44,087,612,163.94/200,269.23
  6. Step 6: Final answer
    x = 220,141.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.