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Finding the Fourth Proportional to 202,232.96, 302,986.24 and 119,081.60

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Solution

The fourth proportional to 202,232.96, 302,986.24 and 119,081.60 is: 178,408.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,232.96 : 302,986.24 = 119,081.60 : x
  2. Step 2: Convert to fraction form
    202,232.96/302,986.24 = 119,081.60/x
  3. Step 3: Cross multiply
    202,232.96x = 302,986.24 × 119,081.60
  4. Step 4: Simplify right side
    202,232.96x = 36,080,086,237.18
  5. Step 5: Solve for x
    x = 36,080,086,237.18/202,232.96
  6. Step 6: Final answer
    x = 178,408.54

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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.