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Finding the Fourth Proportional to 120,238.40, 165,876 and 72,463.52

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Solution

The fourth proportional to 120,238.40, 165,876 and 72,463.52 is: 99,967.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,238.40 : 165,876 = 72,463.52 : x
  2. Step 2: Convert to fraction form
    120,238.40/165,876 = 72,463.52/x
  3. Step 3: Cross multiply
    120,238.40x = 165,876 × 72,463.52
  4. Step 4: Simplify right side
    120,238.40x = 12,019,958,843.52
  5. Step 5: Solve for x
    x = 12,019,958,843.52/120,238.40
  6. Step 6: Final answer
    x = 99,967.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.