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Finding the Fourth Proportional to 120,194.23, 165,848.22 and 66,468.75

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Solution

The fourth proportional to 120,194.23, 165,848.22 and 66,468.75 is: 91,715.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,194.23 : 165,848.22 = 66,468.75 : x
  2. Step 2: Convert to fraction form
    120,194.23/165,848.22 = 66,468.75/x
  3. Step 3: Cross multiply
    120,194.23x = 165,848.22 × 66,468.75
  4. Step 4: Simplify right side
    120,194.23x = 11,023,723,873.13
  5. Step 5: Solve for x
    x = 11,023,723,873.13/120,194.23
  6. Step 6: Final answer
    x = 91,715.92

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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.