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Finding the Fourth Proportional to 234,306.71, 351,405.21 and 65,843.12

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Solution

The fourth proportional to 234,306.71, 351,405.21 and 65,843.12 is: 98,749.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,306.71 : 351,405.21 = 65,843.12 : x
  2. Step 2: Convert to fraction form
    234,306.71/351,405.21 = 65,843.12/x
  3. Step 3: Cross multiply
    234,306.71x = 351,405.21 × 65,843.12
  4. Step 4: Simplify right side
    234,306.71x = 23,137,616,289.17
  5. Step 5: Solve for x
    x = 23,137,616,289.17/234,306.71
  6. Step 6: Final answer
    x = 98,749.27

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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.