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Finding the Fourth Proportional to 171,570.20, 257,363.49 and 82,898.28

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Solution

The fourth proportional to 171,570.20, 257,363.49 and 82,898.28 is: 124,351.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,570.20 : 257,363.49 = 82,898.28 : x
  2. Step 2: Convert to fraction form
    171,570.20/257,363.49 = 82,898.28/x
  3. Step 3: Cross multiply
    171,570.20x = 257,363.49 × 82,898.28
  4. Step 4: Simplify right side
    171,570.20x = 21,334,990,655.80
  5. Step 5: Solve for x
    x = 21,334,990,655.80/171,570.20
  6. Step 6: Final answer
    x = 124,351.38

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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.