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Finding the Fourth Proportional to 133,086.90, 199,630.35 and 109,467.30

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Solution

The fourth proportional to 133,086.90, 199,630.35 and 109,467.30 is: 164,200.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,086.90 : 199,630.35 = 109,467.30 : x
  2. Step 2: Convert to fraction form
    133,086.90/199,630.35 = 109,467.30/x
  3. Step 3: Cross multiply
    133,086.90x = 199,630.35 × 109,467.30
  4. Step 4: Simplify right side
    133,086.90x = 21,852,995,412.56
  5. Step 5: Solve for x
    x = 21,852,995,412.56/133,086.90
  6. Step 6: Final answer
    x = 164,200.95

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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.