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Finding the Fourth Proportional to 202,198.71, 303,299.28 and 89,852.52

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Solution

The fourth proportional to 202,198.71, 303,299.28 and 89,852.52 is: 134,779.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,198.71 : 303,299.28 = 89,852.52 : x
  2. Step 2: Convert to fraction form
    202,198.71/303,299.28 = 89,852.52/x
  3. Step 3: Cross multiply
    202,198.71x = 303,299.28 × 89,852.52
  4. Step 4: Simplify right side
    202,198.71x = 27,252,204,622.19
  5. Step 5: Solve for x
    x = 27,252,204,622.19/202,198.71
  6. Step 6: Final answer
    x = 134,779.32

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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.