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Finding the Fourth Proportional to 202,044.50, 303,068.26 and 89,694.52

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Solution

The fourth proportional to 202,044.50, 303,068.26 and 89,694.52 is: 134,542.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,044.50 : 303,068.26 = 89,694.52 : x
  2. Step 2: Convert to fraction form
    202,044.50/303,068.26 = 89,694.52/x
  3. Step 3: Cross multiply
    202,044.50x = 303,068.26 × 89,694.52
  4. Step 4: Simplify right side
    202,044.50x = 27,183,562,107.94
  5. Step 5: Solve for x
    x = 27,183,562,107.94/202,044.50
  6. Step 6: Final answer
    x = 134,542.45

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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.