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Finding the Fourth Proportional to 120,230.50, 165,925.77 and 67,238.50

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Solution

The fourth proportional to 120,230.50, 165,925.77 and 67,238.50 is: 92,793.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,230.50 : 165,925.77 = 67,238.50 : x
  2. Step 2: Convert to fraction form
    120,230.50/165,925.77 = 67,238.50/x
  3. Step 3: Cross multiply
    120,230.50x = 165,925.77 × 67,238.50
  4. Step 4: Simplify right side
    120,230.50x = 11,156,599,886.15
  5. Step 5: Solve for x
    x = 11,156,599,886.15/120,230.50
  6. Step 6: Final answer
    x = 92,793.43

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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.