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Finding the Fourth Proportional to 202,209.46, 303,315.45 and 89,863.30

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Solution

The fourth proportional to 202,209.46, 303,315.45 and 89,863.30 is: 134,795.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,209.46 : 303,315.45 = 89,863.30 : x
  2. Step 2: Convert to fraction form
    202,209.46/303,315.45 = 89,863.30/x
  3. Step 3: Cross multiply
    202,209.46x = 303,315.45 × 89,863.30
  4. Step 4: Simplify right side
    202,209.46x = 27,256,927,277.99
  5. Step 5: Solve for x
    x = 27,256,927,277.99/202,209.46
  6. Step 6: Final answer
    x = 134,795.51

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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.