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Finding the Fourth Proportional to 267,508.94, 401,437.32 and 115,854.17

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Solution

The fourth proportional to 267,508.94, 401,437.32 and 115,854.17 is: 173,856.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,508.94 : 401,437.32 = 115,854.17 : x
  2. Step 2: Convert to fraction form
    267,508.94/401,437.32 = 115,854.17/x
  3. Step 3: Cross multiply
    267,508.94x = 401,437.32 × 115,854.17
  4. Step 4: Simplify right side
    267,508.94x = 46,508,187,515.62
  5. Step 5: Solve for x
    x = 46,508,187,515.62/267,508.94
  6. Step 6: Final answer
    x = 173,856.57

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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.