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Finding the Fourth Proportional to 230,195.91, 345,203.15 and 111,832.23

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Solution

The fourth proportional to 230,195.91, 345,203.15 and 111,832.23 is: 167,704.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,195.91 : 345,203.15 = 111,832.23 : x
  2. Step 2: Convert to fraction form
    230,195.91/345,203.15 = 111,832.23/x
  3. Step 3: Cross multiply
    230,195.91x = 345,203.15 × 111,832.23
  4. Step 4: Simplify right side
    230,195.91x = 38,604,837,508.36
  5. Step 5: Solve for x
    x = 38,604,837,508.36/230,195.91
  6. Step 6: Final answer
    x = 167,704.27

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1.5x scale

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.