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Finding the Fourth Proportional to 267,357.54, 401,079.12 and 107,433.18

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Solution

The fourth proportional to 267,357.54, 401,079.12 and 107,433.18 is: 161,166.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,357.54 : 401,079.12 = 107,433.18 : x
  2. Step 2: Convert to fraction form
    267,357.54/401,079.12 = 107,433.18/x
  3. Step 3: Cross multiply
    267,357.54x = 401,079.12 × 107,433.18
  4. Step 4: Simplify right side
    267,357.54x = 43,089,205,293.20
  5. Step 5: Solve for x
    x = 43,089,205,293.20/267,357.54
  6. Step 6: Final answer
    x = 161,166.97

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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.