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Finding the Fourth Proportional to 109,181.70, 163,770.72 and 49,176.80

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Solution

The fourth proportional to 109,181.70, 163,770.72 and 49,176.80 is: 73,764.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,181.70 : 163,770.72 = 49,176.80 : x
  2. Step 2: Convert to fraction form
    109,181.70/163,770.72 = 49,176.80/x
  3. Step 3: Cross multiply
    109,181.70x = 163,770.72 × 49,176.80
  4. Step 4: Simplify right side
    109,181.70x = 8,053,719,943.30
  5. Step 5: Solve for x
    x = 8,053,719,943.30/109,181.70
  6. Step 6: Final answer
    x = 73,764.38

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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.