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Finding the Fourth Proportional to 171,002.80, 256,115.40 and 108,017.20

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Solution

The fourth proportional to 171,002.80, 256,115.40 and 108,017.20 is: 161,780.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,002.80 : 256,115.40 = 108,017.20 : x
  2. Step 2: Convert to fraction form
    171,002.80/256,115.40 = 108,017.20/x
  3. Step 3: Cross multiply
    171,002.80x = 256,115.40 × 108,017.20
  4. Step 4: Simplify right side
    171,002.80x = 27,664,868,384.88
  5. Step 5: Solve for x
    x = 27,664,868,384.88/171,002.80
  6. Step 6: Final answer
    x = 161,780.21

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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.