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Finding the Fourth Proportional to 199,694.92, 275,567.70 and 119,213.32

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Solution

The fourth proportional to 199,694.92, 275,567.70 and 119,213.32 is: 164,507.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,694.92 : 275,567.70 = 119,213.32 : x
  2. Step 2: Convert to fraction form
    199,694.92/275,567.70 = 119,213.32/x
  3. Step 3: Cross multiply
    199,694.92x = 275,567.70 × 119,213.32
  4. Step 4: Simplify right side
    199,694.92x = 32,851,340,401.76
  5. Step 5: Solve for x
    x = 32,851,340,401.76/199,694.92
  6. Step 6: Final answer
    x = 164,507.64

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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.