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Finding the Fourth Proportional to 202,200.96, 303,302.70 and 89,854.80

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Solution

The fourth proportional to 202,200.96, 303,302.70 and 89,854.80 is: 134,782.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,200.96 : 303,302.70 = 89,854.80 : x
  2. Step 2: Convert to fraction form
    202,200.96/303,302.70 = 89,854.80/x
  3. Step 3: Cross multiply
    202,200.96x = 303,302.70 × 89,854.80
  4. Step 4: Simplify right side
    202,200.96x = 27,253,203,447.96
  5. Step 5: Solve for x
    x = 27,253,203,447.96/202,200.96
  6. Step 6: Final answer
    x = 134,782.76

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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.