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Finding the Fourth Proportional to 116,446.91, 160,671.08 and 74,067.71

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Solution

The fourth proportional to 116,446.91, 160,671.08 and 74,067.71 is: 102,197.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,446.91 : 160,671.08 = 74,067.71 : x
  2. Step 2: Convert to fraction form
    116,446.91/160,671.08 = 74,067.71/x
  3. Step 3: Cross multiply
    116,446.91x = 160,671.08 × 74,067.71
  4. Step 4: Simplify right side
    116,446.91x = 11,900,538,588.49
  5. Step 5: Solve for x
    x = 11,900,538,588.49/116,446.91
  6. Step 6: Final answer
    x = 102,197.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.