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Finding the Fourth Proportional to 120,221.95, 165,908.04 and 69,243.84

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Solution

The fourth proportional to 120,221.95, 165,908.04 and 69,243.84 is: 95,557.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,221.95 : 165,908.04 = 69,243.84 : x
  2. Step 2: Convert to fraction form
    120,221.95/165,908.04 = 69,243.84/x
  3. Step 3: Cross multiply
    120,221.95x = 165,908.04 × 69,243.84
  4. Step 4: Simplify right side
    120,221.95x = 11,488,109,391.00
  5. Step 5: Solve for x
    x = 11,488,109,391.00/120,221.95
  6. Step 6: Final answer
    x = 95,557.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.