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Finding the Fourth Proportional to 230,199.16, 345,208.02 and 111,835.48

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Solution

The fourth proportional to 230,199.16, 345,208.02 and 111,835.48 is: 167,709.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,199.16 : 345,208.02 = 111,835.48 : x
  2. Step 2: Convert to fraction form
    230,199.16/345,208.02 = 111,835.48/x
  3. Step 3: Cross multiply
    230,199.16x = 345,208.02 × 111,835.48
  4. Step 4: Simplify right side
    230,199.16x = 38,606,504,616.55
  5. Step 5: Solve for x
    x = 38,606,504,616.55/230,199.16
  6. Step 6: Final answer
    x = 167,709.15

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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.