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Finding the Fourth Proportional to 206,624.52, 285,171.84 and 116,017.92

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Solution

The fourth proportional to 206,624.52, 285,171.84 and 116,017.92 is: 160,121.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,624.52 : 285,171.84 = 116,017.92 : x
  2. Step 2: Convert to fraction form
    206,624.52/285,171.84 = 116,017.92/x
  3. Step 3: Cross multiply
    206,624.52x = 285,171.84 × 116,017.92
  4. Step 4: Simplify right side
    206,624.52x = 33,085,043,719.37
  5. Step 5: Solve for x
    x = 33,085,043,719.37/206,624.52
  6. Step 6: Final answer
    x = 160,121.58

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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.