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Finding the Fourth Proportional to 120,319.86, 166,042.86 and 66,609.84

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Solution

The fourth proportional to 120,319.86, 166,042.86 and 66,609.84 is: 91,922.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,319.86 : 166,042.86 = 66,609.84 : x
  2. Step 2: Convert to fraction form
    120,319.86/166,042.86 = 66,609.84/x
  3. Step 3: Cross multiply
    120,319.86x = 166,042.86 × 66,609.84
  4. Step 4: Simplify right side
    120,319.86x = 11,060,088,337.74
  5. Step 5: Solve for x
    x = 11,060,088,337.74/120,319.86
  6. Step 6: Final answer
    x = 91,922.38

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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.