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Finding the Fourth Proportional to 202,149.55, 303,181.80 and 102,215.80

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Solution

The fourth proportional to 202,149.55, 303,181.80 and 102,215.80 is: 153,302.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,149.55 : 303,181.80 = 102,215.80 : x
  2. Step 2: Convert to fraction form
    202,149.55/303,181.80 = 102,215.80/x
  3. Step 3: Cross multiply
    202,149.55x = 303,181.80 × 102,215.80
  4. Step 4: Simplify right side
    202,149.55x = 30,989,970,232.44
  5. Step 5: Solve for x
    x = 30,989,970,232.44/202,149.55
  6. Step 6: Final answer
    x = 153,302.20

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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.