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Finding the Fourth Proportional to 120,200.38, 165,865.36 and 66,484.24

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Solution

The fourth proportional to 120,200.38, 165,865.36 and 66,484.24 is: 91,742.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,200.38 : 165,865.36 = 66,484.24 : x
  2. Step 2: Convert to fraction form
    120,200.38/165,865.36 = 66,484.24/x
  3. Step 3: Cross multiply
    120,200.38x = 165,865.36 × 66,484.24
  4. Step 4: Simplify right side
    120,200.38x = 11,027,432,401.93
  5. Step 5: Solve for x
    x = 11,027,432,401.93/120,200.38
  6. Step 6: Final answer
    x = 91,742.08

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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.