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Finding the Fourth Proportional to 200,734.30, 301,101.99 and 67,708

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Solution

The fourth proportional to 200,734.30, 301,101.99 and 67,708 is: 101,562.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,734.30 : 301,101.99 = 67,708 : x
  2. Step 2: Convert to fraction form
    200,734.30/301,101.99 = 67,708/x
  3. Step 3: Cross multiply
    200,734.30x = 301,101.99 × 67,708
  4. Step 4: Simplify right side
    200,734.30x = 20,387,013,538.92
  5. Step 5: Solve for x
    x = 20,387,013,538.92/200,734.30
  6. Step 6: Final answer
    x = 101,562.18

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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.