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Finding the Fourth Proportional to 120,222, 165,911.25 and 66,506.09

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Solution

The fourth proportional to 120,222, 165,911.25 and 66,506.09 is: 91,781.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,222 : 165,911.25 = 66,506.09 : x
  2. Step 2: Convert to fraction form
    120,222/165,911.25 = 66,506.09/x
  3. Step 3: Cross multiply
    120,222x = 165,911.25 × 66,506.09
  4. Step 4: Simplify right side
    120,222x = 11,034,108,191.98
  5. Step 5: Solve for x
    x = 11,034,108,191.98/120,222
  6. Step 6: Final answer
    x = 91,781.11

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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.