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Finding the Fourth Proportional to 213,081.68, 319,622.52 and 72,841.52

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Solution

The fourth proportional to 213,081.68, 319,622.52 and 72,841.52 is: 109,262.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,081.68 : 319,622.52 = 72,841.52 : x
  2. Step 2: Convert to fraction form
    213,081.68/319,622.52 = 72,841.52/x
  3. Step 3: Cross multiply
    213,081.68x = 319,622.52 × 72,841.52
  4. Step 4: Simplify right side
    213,081.68x = 23,281,790,183.03
  5. Step 5: Solve for x
    x = 23,281,790,183.03/213,081.68
  6. Step 6: Final answer
    x = 109,262.28

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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.