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Finding the Fourth Proportional to 120,593.64, 166,419.68 and 66,883.64

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Solution

The fourth proportional to 120,593.64, 166,419.68 and 66,883.64 is: 92,299.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,593.64 : 166,419.68 = 66,883.64 : x
  2. Step 2: Convert to fraction form
    120,593.64/166,419.68 = 66,883.64/x
  3. Step 3: Cross multiply
    120,593.64x = 166,419.68 × 66,883.64
  4. Step 4: Simplify right side
    120,593.64x = 11,130,753,966.04
  5. Step 5: Solve for x
    x = 11,130,753,966.04/120,593.64
  6. Step 6: Final answer
    x = 92,299.68

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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.