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Finding the Fourth Proportional to 120,302.38, 165,994.23 and 66,584.86

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Solution

The fourth proportional to 120,302.38, 165,994.23 and 66,584.86 is: 91,874.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,302.38 : 165,994.23 = 66,584.86 : x
  2. Step 2: Convert to fraction form
    120,302.38/165,994.23 = 66,584.86/x
  3. Step 3: Cross multiply
    120,302.38x = 165,994.23 × 66,584.86
  4. Step 4: Simplify right side
    120,302.38x = 11,052,702,565.36
  5. Step 5: Solve for x
    x = 11,052,702,565.36/120,302.38
  6. Step 6: Final answer
    x = 91,874.35

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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.