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Finding the Fourth Proportional to 201,694.20, 302,541.30 and 174,046.20

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Solution

The fourth proportional to 201,694.20, 302,541.30 and 174,046.20 is: 261,069.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,694.20 : 302,541.30 = 174,046.20 : x
  2. Step 2: Convert to fraction form
    201,694.20/302,541.30 = 174,046.20/x
  3. Step 3: Cross multiply
    201,694.20x = 302,541.30 × 174,046.20
  4. Step 4: Simplify right side
    201,694.20x = 52,656,163,608.06
  5. Step 5: Solve for x
    x = 52,656,163,608.06/201,694.20
  6. Step 6: Final answer
    x = 261,069.30

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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.