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Finding the Fourth Proportional to 202,947.80, 284,749 and 202,947.80

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Solution

The fourth proportional to 202,947.80, 284,749 and 202,947.80 is: 284,749

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,947.80 : 284,749 = 202,947.80 : x
  2. Step 2: Convert to fraction form
    202,947.80/284,749 = 202,947.80/x
  3. Step 3: Cross multiply
    202,947.80x = 284,749 × 202,947.80
  4. Step 4: Simplify right side
    202,947.80x = 57,789,183,102.20
  5. Step 5: Solve for x
    x = 57,789,183,102.20/202,947.80
  6. Step 6: Final answer
    x = 284,749

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.