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Finding the Fourth Proportional to 202,394.27, 303,568.32 and 69,257

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Solution

The fourth proportional to 202,394.27, 303,568.32 and 69,257 is: 103,877.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,394.27 : 303,568.32 = 69,257 : x
  2. Step 2: Convert to fraction form
    202,394.27/303,568.32 = 69,257/x
  3. Step 3: Cross multiply
    202,394.27x = 303,568.32 × 69,257
  4. Step 4: Simplify right side
    202,394.27x = 21,024,231,138.24
  5. Step 5: Solve for x
    x = 21,024,231,138.24/202,394.27
  6. Step 6: Final answer
    x = 103,877.60

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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.