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Finding the Fourth Proportional to 109,419.50, 163,965.18 and 84,422.09

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Solution

The fourth proportional to 109,419.50, 163,965.18 and 84,422.09 is: 126,506.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,419.50 : 163,965.18 = 84,422.09 : x
  2. Step 2: Convert to fraction form
    109,419.50/163,965.18 = 84,422.09/x
  3. Step 3: Cross multiply
    109,419.50x = 163,965.18 × 84,422.09
  4. Step 4: Simplify right side
    109,419.50x = 13,842,283,182.83
  5. Step 5: Solve for x
    x = 13,842,283,182.83/109,419.50
  6. Step 6: Final answer
    x = 126,506.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.