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Finding the Fourth Proportional to 201,682.70, 301,867.95 and 157,067.90

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Solution

The fourth proportional to 201,682.70, 301,867.95 and 157,067.90 is: 235,090.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,682.70 : 301,867.95 = 157,067.90 : x
  2. Step 2: Convert to fraction form
    201,682.70/301,867.95 = 157,067.90/x
  3. Step 3: Cross multiply
    201,682.70x = 301,867.95 × 157,067.90
  4. Step 4: Simplify right side
    201,682.70x = 47,413,764,983.81
  5. Step 5: Solve for x
    x = 47,413,764,983.81/201,682.70
  6. Step 6: Final answer
    x = 235,090.89

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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.