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Finding the Fourth Proportional to 120,614.22, 166,457.82 and 66,916.50

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Solution

The fourth proportional to 120,614.22, 166,457.82 and 66,916.50 is: 92,350.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,614.22 : 166,457.82 = 66,916.50 : x
  2. Step 2: Convert to fraction form
    120,614.22/166,457.82 = 66,916.50/x
  3. Step 3: Cross multiply
    120,614.22x = 166,457.82 × 66,916.50
  4. Step 4: Simplify right side
    120,614.22x = 11,138,774,712.03
  5. Step 5: Solve for x
    x = 11,138,774,712.03/120,614.22
  6. Step 6: Final answer
    x = 92,350.43

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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.