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Finding the Fourth Proportional to 171,028.29, 256,210.23 and 82,344.02

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Solution

The fourth proportional to 171,028.29, 256,210.23 and 82,344.02 is: 123,356.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,028.29 : 256,210.23 = 82,344.02 : x
  2. Step 2: Convert to fraction form
    171,028.29/256,210.23 = 82,344.02/x
  3. Step 3: Cross multiply
    171,028.29x = 256,210.23 × 82,344.02
  4. Step 4: Simplify right side
    171,028.29x = 21,097,380,303.32
  5. Step 5: Solve for x
    x = 21,097,380,303.32/171,028.29
  6. Step 6: Final answer
    x = 123,356.09

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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.