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Finding the Fourth Proportional to 223,134.92, 307,850.16 and 142,608.90

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Solution

The fourth proportional to 223,134.92, 307,850.16 and 142,608.90 is: 196,751.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,134.92 : 307,850.16 = 142,608.90 : x
  2. Step 2: Convert to fraction form
    223,134.92/307,850.16 = 142,608.90/x
  3. Step 3: Cross multiply
    223,134.92x = 307,850.16 × 142,608.90
  4. Step 4: Simplify right side
    223,134.92x = 43,902,172,682.42
  5. Step 5: Solve for x
    x = 43,902,172,682.42/223,134.92
  6. Step 6: Final answer
    x = 196,751.69

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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.