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Finding the Fourth Proportional to 200,428.62, 276,583.40 and 119,900.66

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Solution

The fourth proportional to 200,428.62, 276,583.40 and 119,900.66 is: 165,458.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,428.62 : 276,583.40 = 119,900.66 : x
  2. Step 2: Convert to fraction form
    200,428.62/276,583.40 = 119,900.66/x
  3. Step 3: Cross multiply
    200,428.62x = 276,583.40 × 119,900.66
  4. Step 4: Simplify right side
    200,428.62x = 33,162,532,205.04
  5. Step 5: Solve for x
    x = 33,162,532,205.04/200,428.62
  6. Step 6: Final answer
    x = 165,458.07

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Why These Related Problems?

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