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Finding the Fourth Proportional to 202,028.13, 303,043.71 and 89,678.14

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Solution

The fourth proportional to 202,028.13, 303,043.71 and 89,678.14 is: 134,517.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,028.13 : 303,043.71 = 89,678.14 : x
  2. Step 2: Convert to fraction form
    202,028.13/303,043.71 = 89,678.14/x
  3. Step 3: Cross multiply
    202,028.13x = 303,043.71 × 89,678.14
  4. Step 4: Simplify right side
    202,028.13x = 27,176,396,251.50
  5. Step 5: Solve for x
    x = 27,176,396,251.50/202,028.13
  6. Step 6: Final answer
    x = 134,517.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.