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Finding the Fourth Proportional to 171,172.50, 256,695.78 and 58,820.82

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Solution

The fourth proportional to 171,172.50, 256,695.78 and 58,820.82 is: 88,209.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,172.50 : 256,695.78 = 58,820.82 : x
  2. Step 2: Convert to fraction form
    171,172.50/256,695.78 = 58,820.82/x
  3. Step 3: Cross multiply
    171,172.50x = 256,695.78 × 58,820.82
  4. Step 4: Simplify right side
    171,172.50x = 15,099,056,270.14
  5. Step 5: Solve for x
    x = 15,099,056,270.14/171,172.50
  6. Step 6: Final answer
    x = 88,209.59

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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.