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Finding the Fourth Proportional to 171,797.58, 257,696.34 and 100,828.20

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Solution

The fourth proportional to 171,797.58, 257,696.34 and 100,828.20 is: 151,242.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,797.58 : 257,696.34 = 100,828.20 : x
  2. Step 2: Convert to fraction form
    171,797.58/257,696.34 = 100,828.20/x
  3. Step 3: Cross multiply
    171,797.58x = 257,696.34 × 100,828.20
  4. Step 4: Simplify right side
    171,797.58x = 25,983,058,108.79
  5. Step 5: Solve for x
    x = 25,983,058,108.79/171,797.58
  6. Step 6: Final answer
    x = 151,242.28

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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.