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Finding the Fourth Proportional to 267,507.94, 401,435.82 and 115,853.17

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Solution

The fourth proportional to 267,507.94, 401,435.82 and 115,853.17 is: 173,855.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,507.94 : 401,435.82 = 115,853.17 : x
  2. Step 2: Convert to fraction form
    267,507.94/401,435.82 = 115,853.17/x
  3. Step 3: Cross multiply
    267,507.94x = 401,435.82 × 115,853.17
  4. Step 4: Simplify right side
    267,507.94x = 46,507,612,298.55
  5. Step 5: Solve for x
    x = 46,507,612,298.55/267,507.94
  6. Step 6: Final answer
    x = 173,855.07

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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.