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Finding the Fourth Proportional to 171,159.18, 256,524.93 and 82,388.94

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Solution

The fourth proportional to 171,159.18, 256,524.93 and 82,388.94 is: 123,480.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,159.18 : 256,524.93 = 82,388.94 : x
  2. Step 2: Convert to fraction form
    171,159.18/256,524.93 = 82,388.94/x
  3. Step 3: Cross multiply
    171,159.18x = 256,524.93 × 82,388.94
  4. Step 4: Simplify right side
    171,159.18x = 21,134,817,066.27
  5. Step 5: Solve for x
    x = 21,134,817,066.27/171,159.18
  6. Step 6: Final answer
    x = 123,480.48

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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.