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Finding the Fourth Proportional to 267,642.38, 401,464.32 and 90,273.98

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Solution

The fourth proportional to 267,642.38, 401,464.32 and 90,273.98 is: 135,411.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,642.38 : 401,464.32 = 90,273.98 : x
  2. Step 2: Convert to fraction form
    267,642.38/401,464.32 = 90,273.98/x
  3. Step 3: Cross multiply
    267,642.38x = 401,464.32 × 90,273.98
  4. Step 4: Simplify right side
    267,642.38x = 36,241,781,994.39
  5. Step 5: Solve for x
    x = 36,241,781,994.39/267,642.38
  6. Step 6: Final answer
    x = 135,411.22

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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.