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Finding the Fourth Proportional to 202,018.38, 278,585.62 and 171,474.88

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Solution

The fourth proportional to 202,018.38, 278,585.62 and 171,474.88 is: 236,465.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,018.38 : 278,585.62 = 171,474.88 : x
  2. Step 2: Convert to fraction form
    202,018.38/278,585.62 = 171,474.88/x
  3. Step 3: Cross multiply
    202,018.38x = 278,585.62 × 171,474.88
  4. Step 4: Simplify right side
    202,018.38x = 47,770,435,759.23
  5. Step 5: Solve for x
    x = 47,770,435,759.23/202,018.38
  6. Step 6: Final answer
    x = 236,465.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.