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Finding the Fourth Proportional to 120,522.02, 166,302.90 and 66,807

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Solution

The fourth proportional to 120,522.02, 166,302.90 and 66,807 is: 92,183.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,522.02 : 166,302.90 = 66,807 : x
  2. Step 2: Convert to fraction form
    120,522.02/166,302.90 = 66,807/x
  3. Step 3: Cross multiply
    120,522.02x = 166,302.90 × 66,807
  4. Step 4: Simplify right side
    120,522.02x = 11,110,197,840.30
  5. Step 5: Solve for x
    x = 11,110,197,840.30/120,522.02
  6. Step 6: Final answer
    x = 92,183.97

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1.5x scale

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.