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Finding the Fourth Proportional to 202,433.30, 303,261.15 and 119,230.10

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Solution

The fourth proportional to 202,433.30, 303,261.15 and 119,230.10 is: 178,616.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,433.30 : 303,261.15 = 119,230.10 : x
  2. Step 2: Convert to fraction form
    202,433.30/303,261.15 = 119,230.10/x
  3. Step 3: Cross multiply
    202,433.30x = 303,261.15 × 119,230.10
  4. Step 4: Simplify right side
    202,433.30x = 36,157,857,240.62
  5. Step 5: Solve for x
    x = 36,157,857,240.62/202,433.30
  6. Step 6: Final answer
    x = 178,616.15

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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.