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Finding the Fourth Proportional to 200,083.58, 276,124.20 and 115,227.98

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Solution

The fourth proportional to 200,083.58, 276,124.20 and 115,227.98 is: 159,019.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,083.58 : 276,124.20 = 115,227.98 : x
  2. Step 2: Convert to fraction form
    200,083.58/276,124.20 = 115,227.98/x
  3. Step 3: Cross multiply
    200,083.58x = 276,124.20 × 115,227.98
  4. Step 4: Simplify right side
    200,083.58x = 31,817,233,795.12
  5. Step 5: Solve for x
    x = 31,817,233,795.12/200,083.58
  6. Step 6: Final answer
    x = 159,019.71

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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.