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Finding the Fourth Proportional to 202,188.83, 303,469.43 and 102,418.47

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Solution

The fourth proportional to 202,188.83, 303,469.43 and 102,418.47 is: 153,722.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,188.83 : 303,469.43 = 102,418.47 : x
  2. Step 2: Convert to fraction form
    202,188.83/303,469.43 = 102,418.47/x
  3. Step 3: Cross multiply
    202,188.83x = 303,469.43 × 102,418.47
  4. Step 4: Simplify right side
    202,188.83x = 31,080,874,200.28
  5. Step 5: Solve for x
    x = 31,080,874,200.28/202,188.83
  6. Step 6: Final answer
    x = 153,722.02

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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.