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Finding the Fourth Proportional to 120,675.04, 166,535.36 and 66,964

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Solution

The fourth proportional to 120,675.04, 166,535.36 and 66,964 is: 92,412.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,675.04 : 166,535.36 = 66,964 : x
  2. Step 2: Convert to fraction form
    120,675.04/166,535.36 = 66,964/x
  3. Step 3: Cross multiply
    120,675.04x = 166,535.36 × 66,964
  4. Step 4: Simplify right side
    120,675.04x = 11,151,873,847.04
  5. Step 5: Solve for x
    x = 11,151,873,847.04/120,675.04
  6. Step 6: Final answer
    x = 92,412.43

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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.