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Finding the Fourth Proportional to 267,685.88, 401,507.53 and 107,649

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Solution

The fourth proportional to 267,685.88, 401,507.53 and 107,649 is: 161,464.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,685.88 : 401,507.53 = 107,649 : x
  2. Step 2: Convert to fraction form
    267,685.88/401,507.53 = 107,649/x
  3. Step 3: Cross multiply
    267,685.88x = 401,507.53 × 107,649
  4. Step 4: Simplify right side
    267,685.88x = 43,221,884,433.37
  5. Step 5: Solve for x
    x = 43,221,884,433.37/267,685.88
  6. Step 6: Final answer
    x = 161,464.94

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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.