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Finding the Fourth Proportional to 202,229.60, 303,344.40 and 102,696.80

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Solution

The fourth proportional to 202,229.60, 303,344.40 and 102,696.80 is: 154,045.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,229.60 : 303,344.40 = 102,696.80 : x
  2. Step 2: Convert to fraction form
    202,229.60/303,344.40 = 102,696.80/x
  3. Step 3: Cross multiply
    202,229.60x = 303,344.40 × 102,696.80
  4. Step 4: Simplify right side
    202,229.60x = 31,152,499,177.92
  5. Step 5: Solve for x
    x = 31,152,499,177.92/202,229.60
  6. Step 6: Final answer
    x = 154,045.20

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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.