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Finding the Fourth Proportional to 196,594.90, 271,300.39 and 111,728.36

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Solution

The fourth proportional to 196,594.90, 271,300.39 and 111,728.36 is: 154,184.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,594.90 : 271,300.39 = 111,728.36 : x
  2. Step 2: Convert to fraction form
    196,594.90/271,300.39 = 111,728.36/x
  3. Step 3: Cross multiply
    196,594.90x = 271,300.39 × 111,728.36
  4. Step 4: Simplify right side
    196,594.90x = 30,311,948,040.99
  5. Step 5: Solve for x
    x = 30,311,948,040.99/196,594.90
  6. Step 6: Final answer
    x = 154,184.82

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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.