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Finding the Fourth Proportional to 230,196.16, 345,203.52 and 111,832.48

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Solution

The fourth proportional to 230,196.16, 345,203.52 and 111,832.48 is: 167,704.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,196.16 : 345,203.52 = 111,832.48 : x
  2. Step 2: Convert to fraction form
    230,196.16/345,203.52 = 111,832.48/x
  3. Step 3: Cross multiply
    230,196.16x = 345,203.52 × 111,832.48
  4. Step 4: Simplify right side
    230,196.16x = 38,604,965,746.33
  5. Step 5: Solve for x
    x = 38,604,965,746.33/230,196.16
  6. Step 6: Final answer
    x = 167,704.65

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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.