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Finding the Fourth Proportional to 120,181.50, 165,843.95 and 66,463.38

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Solution

The fourth proportional to 120,181.50, 165,843.95 and 66,463.38 is: 91,715.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,181.50 : 165,843.95 = 66,463.38 : x
  2. Step 2: Convert to fraction form
    120,181.50/165,843.95 = 66,463.38/x
  3. Step 3: Cross multiply
    120,181.50x = 165,843.95 × 66,463.38
  4. Step 4: Simplify right side
    120,181.50x = 11,022,549,137.23
  5. Step 5: Solve for x
    x = 11,022,549,137.23/120,181.50
  6. Step 6: Final answer
    x = 91,715.86

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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.