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Finding the Fourth Proportional to 120,025.72, 165,634.86 and 66,314.44

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Solution

The fourth proportional to 120,025.72, 165,634.86 and 66,314.44 is: 91,513.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,025.72 : 165,634.86 = 66,314.44 : x
  2. Step 2: Convert to fraction form
    120,025.72/165,634.86 = 66,314.44/x
  3. Step 3: Cross multiply
    120,025.72x = 165,634.86 × 66,314.44
  4. Step 4: Simplify right side
    120,025.72x = 10,983,982,985.38
  5. Step 5: Solve for x
    x = 10,983,982,985.38/120,025.72
  6. Step 6: Final answer
    x = 91,513.58

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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.