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Finding the Fourth Proportional to 202,196.96, 303,296.67 and 89,850.77

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Solution

The fourth proportional to 202,196.96, 303,296.67 and 89,850.77 is: 134,776.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,196.96 : 303,296.67 = 89,850.77 : x
  2. Step 2: Convert to fraction form
    202,196.96/303,296.67 = 89,850.77/x
  3. Step 3: Cross multiply
    202,196.96x = 303,296.67 × 89,850.77
  4. Step 4: Simplify right side
    202,196.96x = 27,251,439,337.94
  5. Step 5: Solve for x
    x = 27,251,439,337.94/202,196.96
  6. Step 6: Final answer
    x = 134,776.70

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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.