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Finding the Fourth Proportional to 201,757.77, 302,974.07 and 126,032.49

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Solution

The fourth proportional to 201,757.77, 302,974.07 and 126,032.49 is: 189,259.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,757.77 : 302,974.07 = 126,032.49 : x
  2. Step 2: Convert to fraction form
    201,757.77/302,974.07 = 126,032.49/x
  3. Step 3: Cross multiply
    201,757.77x = 302,974.07 × 126,032.49
  4. Step 4: Simplify right side
    201,757.77x = 38,184,575,817.37
  5. Step 5: Solve for x
    x = 38,184,575,817.37/201,757.77
  6. Step 6: Final answer
    x = 189,259.51

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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.