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Finding the Fourth Proportional to 202,538.50, 303,430.48 and 126,660.53

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Solution

The fourth proportional to 202,538.50, 303,430.48 and 126,660.53 is: 189,754.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,538.50 : 303,430.48 = 126,660.53 : x
  2. Step 2: Convert to fraction form
    202,538.50/303,430.48 = 126,660.53/x
  3. Step 3: Cross multiply
    202,538.50x = 303,430.48 × 126,660.53
  4. Step 4: Simplify right side
    202,538.50x = 38,432,665,856.88
  5. Step 5: Solve for x
    x = 38,432,665,856.88/202,538.50
  6. Step 6: Final answer
    x = 189,754.87

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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.