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Finding the Fourth Proportional to 201,727.90, 302,591.85 and 149,239.90

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Solution

The fourth proportional to 201,727.90, 302,591.85 and 149,239.90 is: 223,859.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,727.90 : 302,591.85 = 149,239.90 : x
  2. Step 2: Convert to fraction form
    201,727.90/302,591.85 = 149,239.90/x
  3. Step 3: Cross multiply
    201,727.90x = 302,591.85 × 149,239.90
  4. Step 4: Simplify right side
    201,727.90x = 45,158,777,434.82
  5. Step 5: Solve for x
    x = 45,158,777,434.82/201,727.90
  6. Step 6: Final answer
    x = 223,859.85

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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.