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Finding the Fourth Proportional to 200,019.66, 276,017.46 and 113,998.80

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Solution

The fourth proportional to 200,019.66, 276,017.46 and 113,998.80 is: 157,312.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,019.66 : 276,017.46 = 113,998.80 : x
  2. Step 2: Convert to fraction form
    200,019.66/276,017.46 = 113,998.80/x
  3. Step 3: Cross multiply
    200,019.66x = 276,017.46 × 113,998.80
  4. Step 4: Simplify right side
    200,019.66x = 31,465,659,219.05
  5. Step 5: Solve for x
    x = 31,465,659,219.05/200,019.66
  6. Step 6: Final answer
    x = 157,312.83

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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.