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Finding the Fourth Proportional to 202,086.96, 303,392.88 and 155,372.64

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Solution

The fourth proportional to 202,086.96, 303,392.88 and 155,372.64 is: 233,260.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,086.96 : 303,392.88 = 155,372.64 : x
  2. Step 2: Convert to fraction form
    202,086.96/303,392.88 = 155,372.64/x
  3. Step 3: Cross multiply
    202,086.96x = 303,392.88 × 155,372.64
  4. Step 4: Simplify right side
    202,086.96x = 47,138,952,722.80
  5. Step 5: Solve for x
    x = 47,138,952,722.80/202,086.96
  6. Step 6: Final answer
    x = 233,260.73

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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.