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Finding the Fourth Proportional to 120,393.86, 166,138.64 and 66,675.68

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Solution

The fourth proportional to 120,393.86, 166,138.64 and 66,675.68 is: 92,009.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,393.86 : 166,138.64 = 66,675.68 : x
  2. Step 2: Convert to fraction form
    120,393.86/166,138.64 = 66,675.68/x
  3. Step 3: Cross multiply
    120,393.86x = 166,138.64 × 66,675.68
  4. Step 4: Simplify right side
    120,393.86x = 11,077,406,796.28
  5. Step 5: Solve for x
    x = 11,077,406,796.28/120,393.86
  6. Step 6: Final answer
    x = 92,009.73

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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.