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Finding the Fourth Proportional to 267,920.71, 401,779.85 and 107,942.42

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Solution

The fourth proportional to 267,920.71, 401,779.85 and 107,942.42 is: 161,872.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,920.71 : 401,779.85 = 107,942.42 : x
  2. Step 2: Convert to fraction form
    267,920.71/401,779.85 = 107,942.42/x
  3. Step 3: Cross multiply
    267,920.71x = 401,779.85 × 107,942.42
  4. Step 4: Simplify right side
    267,920.71x = 43,369,089,780.97
  5. Step 5: Solve for x
    x = 43,369,089,780.97/267,920.71
  6. Step 6: Final answer
    x = 161,872.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.