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Finding the Fourth Proportional to 202,537.92, 303,849.96 and 69,382.44

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Solution

The fourth proportional to 202,537.92, 303,849.96 and 69,382.44 is: 104,088.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,537.92 : 303,849.96 = 69,382.44 : x
  2. Step 2: Convert to fraction form
    202,537.92/303,849.96 = 69,382.44/x
  3. Step 3: Cross multiply
    202,537.92x = 303,849.96 × 69,382.44
  4. Step 4: Simplify right side
    202,537.92x = 21,081,851,618.70
  5. Step 5: Solve for x
    x = 21,081,851,618.70/202,537.92
  6. Step 6: Final answer
    x = 104,088.42

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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.