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Finding the Fourth Proportional to 120,142.68, 165,808.98 and 66,431.76

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Solution

The fourth proportional to 120,142.68, 165,808.98 and 66,431.76 is: 91,682.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,142.68 : 165,808.98 = 66,431.76 : x
  2. Step 2: Convert to fraction form
    120,142.68/165,808.98 = 66,431.76/x
  3. Step 3: Cross multiply
    120,142.68x = 165,808.98 × 66,431.76
  4. Step 4: Simplify right side
    120,142.68x = 11,014,982,365.20
  5. Step 5: Solve for x
    x = 11,014,982,365.20/120,142.68
  6. Step 6: Final answer
    x = 91,682.51

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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.