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Finding the Fourth Proportional to 202,180.10, 303,464.55 and 102,452.90

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Solution

The fourth proportional to 202,180.10, 303,464.55 and 102,452.90 is: 153,777.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,180.10 : 303,464.55 = 102,452.90 : x
  2. Step 2: Convert to fraction form
    202,180.10/303,464.55 = 102,452.90/x
  3. Step 3: Cross multiply
    202,180.10x = 303,464.55 × 102,452.90
  4. Step 4: Simplify right side
    202,180.10x = 31,090,823,194.70
  5. Step 5: Solve for x
    x = 31,090,823,194.70/202,180.10
  6. Step 6: Final answer
    x = 153,777.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.