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Finding the Fourth Proportional to 120,263.96, 165,952.96 and 81,422.76

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Solution

The fourth proportional to 120,263.96, 165,952.96 and 81,422.76 is: 112,355.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,263.96 : 165,952.96 = 81,422.76 : x
  2. Step 2: Convert to fraction form
    120,263.96/165,952.96 = 81,422.76/x
  3. Step 3: Cross multiply
    120,263.96x = 165,952.96 × 81,422.76
  4. Step 4: Simplify right side
    120,263.96x = 13,512,348,033.37
  5. Step 5: Solve for x
    x = 13,512,348,033.37/120,263.96
  6. Step 6: Final answer
    x = 112,355.76

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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.