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Finding the Fourth Proportional to 201,728.38, 302,452.44 and 89,347.36

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Solution

The fourth proportional to 201,728.38, 302,452.44 and 89,347.36 is: 133,958.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,728.38 : 302,452.44 = 89,347.36 : x
  2. Step 2: Convert to fraction form
    201,728.38/302,452.44 = 89,347.36/x
  3. Step 3: Cross multiply
    201,728.38x = 302,452.44 × 89,347.36
  4. Step 4: Simplify right side
    201,728.38x = 27,023,327,039.56
  5. Step 5: Solve for x
    x = 27,023,327,039.56/201,728.38
  6. Step 6: Final answer
    x = 133,958.98

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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.