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Finding the Fourth Proportional to 165,846.97, 228,868.89 and 94,227.10

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Solution

The fourth proportional to 165,846.97, 228,868.89 and 94,227.10 is: 130,033.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,846.97 : 228,868.89 = 94,227.10 : x
  2. Step 2: Convert to fraction form
    165,846.97/228,868.89 = 94,227.10/x
  3. Step 3: Cross multiply
    165,846.97x = 228,868.89 × 94,227.10
  4. Step 4: Simplify right side
    165,846.97x = 21,565,651,784.92
  5. Step 5: Solve for x
    x = 21,565,651,784.92/165,846.97
  6. Step 6: Final answer
    x = 130,033.44

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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.