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Finding the Fourth Proportional to 204,628.80, 306,943.20 and 175,104.30

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Solution

The fourth proportional to 204,628.80, 306,943.20 and 175,104.30 is: 262,656.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,628.80 : 306,943.20 = 175,104.30 : x
  2. Step 2: Convert to fraction form
    204,628.80/306,943.20 = 175,104.30/x
  3. Step 3: Cross multiply
    204,628.80x = 306,943.20 × 175,104.30
  4. Step 4: Simplify right side
    204,628.80x = 53,747,074,175.76
  5. Step 5: Solve for x
    x = 53,747,074,175.76/204,628.80
  6. Step 6: Final answer
    x = 262,656.45

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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.