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Finding the Fourth Proportional to 267,395.92, 401,179.64 and 77,867.68

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Solution

The fourth proportional to 267,395.92, 401,179.64 and 77,867.68 is: 116,826.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,395.92 : 401,179.64 = 77,867.68 : x
  2. Step 2: Convert to fraction form
    267,395.92/401,179.64 = 77,867.68/x
  3. Step 3: Cross multiply
    267,395.92x = 401,179.64 × 77,867.68
  4. Step 4: Simplify right side
    267,395.92x = 31,238,927,830.04
  5. Step 5: Solve for x
    x = 31,238,927,830.04/267,395.92
  6. Step 6: Final answer
    x = 116,826.49

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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.