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Finding the Fourth Proportional to 202,314.15, 303,471.23 and 202,314.15

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Solution

The fourth proportional to 202,314.15, 303,471.23 and 202,314.15 is: 303,471.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,314.15 : 303,471.23 = 202,314.15 : x
  2. Step 2: Convert to fraction form
    202,314.15/303,471.23 = 202,314.15/x
  3. Step 3: Cross multiply
    202,314.15x = 303,471.23 × 202,314.15
  4. Step 4: Simplify right side
    202,314.15x = 61,396,523,946.90
  5. Step 5: Solve for x
    x = 61,396,523,946.90/202,314.15
  6. Step 6: Final answer
    x = 303,471.23

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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.