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Finding the Fourth Proportional to 202,288.90, 303,469.80 and 83,972.20

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Solution

The fourth proportional to 202,288.90, 303,469.80 and 83,972.20 is: 125,973.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,288.90 : 303,469.80 = 83,972.20 : x
  2. Step 2: Convert to fraction form
    202,288.90/303,469.80 = 83,972.20/x
  3. Step 3: Cross multiply
    202,288.90x = 303,469.80 × 83,972.20
  4. Step 4: Simplify right side
    202,288.90x = 25,483,026,739.56
  5. Step 5: Solve for x
    x = 25,483,026,739.56/202,288.90
  6. Step 6: Final answer
    x = 125,973.43

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1.5x scale

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.