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Finding the Fourth Proportional to 200,734.30, 301,101.45 and 67,570.30

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Solution

The fourth proportional to 200,734.30, 301,101.45 and 67,570.30 is: 101,355.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,734.30 : 301,101.45 = 67,570.30 : x
  2. Step 2: Convert to fraction form
    200,734.30/301,101.45 = 67,570.30/x
  3. Step 3: Cross multiply
    200,734.30x = 301,101.45 × 67,570.30
  4. Step 4: Simplify right side
    200,734.30x = 20,345,515,306.94
  5. Step 5: Solve for x
    x = 20,345,515,306.94/200,734.30
  6. Step 6: Final answer
    x = 101,355.45

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1.5x scale

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.