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Finding the Fourth Proportional to 168,098.10, 231,874.29 and 132,231.30

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Solution

The fourth proportional to 168,098.10, 231,874.29 and 132,231.30 is: 182,399.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,098.10 : 231,874.29 = 132,231.30 : x
  2. Step 2: Convert to fraction form
    168,098.10/231,874.29 = 132,231.30/x
  3. Step 3: Cross multiply
    168,098.10x = 231,874.29 × 132,231.30
  4. Step 4: Simplify right side
    168,098.10x = 30,661,038,803.28
  5. Step 5: Solve for x
    x = 30,661,038,803.28/168,098.10
  6. Step 6: Final answer
    x = 182,399.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.