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Finding the Fourth Proportional to 335,138.92, 462,421.92 and 199,220.92

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Solution

The fourth proportional to 335,138.92, 462,421.92 and 199,220.92 is: 274,883.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,138.92 : 462,421.92 = 199,220.92 : x
  2. Step 2: Convert to fraction form
    335,138.92/462,421.92 = 199,220.92/x
  3. Step 3: Cross multiply
    335,138.92x = 462,421.92 × 199,220.92
  4. Step 4: Simplify right side
    335,138.92x = 92,124,120,330.57
  5. Step 5: Solve for x
    x = 92,124,120,330.57/335,138.92
  6. Step 6: Final answer
    x = 274,883.38

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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.