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Finding the Fourth Proportional to 202,180.59, 303,057.45 and 75,738.24

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Solution

The fourth proportional to 202,180.59, 303,057.45 and 75,738.24 is: 113,527.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,180.59 : 303,057.45 = 75,738.24 : x
  2. Step 2: Convert to fraction form
    202,180.59/303,057.45 = 75,738.24/x
  3. Step 3: Cross multiply
    202,180.59x = 303,057.45 × 75,738.24
  4. Step 4: Simplify right side
    202,180.59x = 22,953,037,881.89
  5. Step 5: Solve for x
    x = 22,953,037,881.89/202,180.59
  6. Step 6: Final answer
    x = 113,527.41

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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.