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Finding the Fourth Proportional to 120,207.34, 165,833.97 and 72,433.54

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Solution

The fourth proportional to 120,207.34, 165,833.97 and 72,433.54 is: 99,926.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,207.34 : 165,833.97 = 72,433.54 : x
  2. Step 2: Convert to fraction form
    120,207.34/165,833.97 = 72,433.54/x
  3. Step 3: Cross multiply
    120,207.34x = 165,833.97 × 72,433.54
  4. Step 4: Simplify right side
    120,207.34x = 12,011,941,499.35
  5. Step 5: Solve for x
    x = 12,011,941,499.35/120,207.34
  6. Step 6: Final answer
    x = 99,926.86

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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.