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Finding the Fourth Proportional to 202,191.96, 303,289.16 and 89,845.78

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Solution

The fourth proportional to 202,191.96, 303,289.16 and 89,845.78 is: 134,769.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,191.96 : 303,289.16 = 89,845.78 : x
  2. Step 2: Convert to fraction form
    202,191.96/303,289.16 = 89,845.78/x
  3. Step 3: Cross multiply
    202,191.96x = 303,289.16 × 89,845.78
  4. Step 4: Simplify right side
    202,191.96x = 27,249,251,145.74
  5. Step 5: Solve for x
    x = 27,249,251,145.74/202,191.96
  6. Step 6: Final answer
    x = 134,769.21

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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.