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Finding the Fourth Proportional to 202,159.24, 303,109.26 and 83,912.20

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Solution

The fourth proportional to 202,159.24, 303,109.26 and 83,912.20 is: 125,814.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,159.24 : 303,109.26 = 83,912.20 : x
  2. Step 2: Convert to fraction form
    202,159.24/303,109.26 = 83,912.20/x
  3. Step 3: Cross multiply
    202,159.24x = 303,109.26 × 83,912.20
  4. Step 4: Simplify right side
    202,159.24x = 25,434,564,846.97
  5. Step 5: Solve for x
    x = 25,434,564,846.97/202,159.24
  6. Step 6: Final answer
    x = 125,814.51

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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.