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Finding the Fourth Proportional to 120,465.02, 166,242.03 and 66,749.60

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Solution

The fourth proportional to 120,465.02, 166,242.03 and 66,749.60 is: 92,114.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,465.02 : 166,242.03 = 66,749.60 : x
  2. Step 2: Convert to fraction form
    120,465.02/166,242.03 = 66,749.60/x
  3. Step 3: Cross multiply
    120,465.02x = 166,242.03 × 66,749.60
  4. Step 4: Simplify right side
    120,465.02x = 11,096,589,005.69
  5. Step 5: Solve for x
    x = 11,096,589,005.69/120,465.02
  6. Step 6: Final answer
    x = 92,114.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.