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Finding the Fourth Proportional to 202,399.82, 303,193.65 and 185,865.02

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Solution

The fourth proportional to 202,399.82, 303,193.65 and 185,865.02 is: 278,424.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,399.82 : 303,193.65 = 185,865.02 : x
  2. Step 2: Convert to fraction form
    202,399.82/303,193.65 = 185,865.02/x
  3. Step 3: Cross multiply
    202,399.82x = 303,193.65 × 185,865.02
  4. Step 4: Simplify right side
    202,399.82x = 56,353,093,821.12
  5. Step 5: Solve for x
    x = 56,353,093,821.12/202,399.82
  6. Step 6: Final answer
    x = 278,424.62

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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.