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Finding the Fourth Proportional to 201,682.20, 301,867.20 and 157,067.40

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Solution

The fourth proportional to 201,682.20, 301,867.20 and 157,067.40 is: 235,090.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,682.20 : 301,867.20 = 157,067.40 : x
  2. Step 2: Convert to fraction form
    201,682.20/301,867.20 = 157,067.40/x
  3. Step 3: Cross multiply
    201,682.20x = 301,867.20 × 157,067.40
  4. Step 4: Simplify right side
    201,682.20x = 47,413,496,249.28
  5. Step 5: Solve for x
    x = 47,413,496,249.28/201,682.20
  6. Step 6: Final answer
    x = 235,090.14

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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.