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Finding the Fourth Proportional to 200,685.14, 276,948.61 and 110,049.38

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Solution

The fourth proportional to 200,685.14, 276,948.61 and 110,049.38 is: 151,869.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,685.14 : 276,948.61 = 110,049.38 : x
  2. Step 2: Convert to fraction form
    200,685.14/276,948.61 = 110,049.38/x
  3. Step 3: Cross multiply
    200,685.14x = 276,948.61 × 110,049.38
  4. Step 4: Simplify right side
    200,685.14x = 30,478,021,162.50
  5. Step 5: Solve for x
    x = 30,478,021,162.50/200,685.14
  6. Step 6: Final answer
    x = 151,869.85

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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.