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Finding the Fourth Proportional to 171,772.80, 257,713.20 and 83,029.20

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Solution

The fourth proportional to 171,772.80, 257,713.20 and 83,029.20 is: 124,569.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,772.80 : 257,713.20 = 83,029.20 : x
  2. Step 2: Convert to fraction form
    171,772.80/257,713.20 = 83,029.20/x
  3. Step 3: Cross multiply
    171,772.80x = 257,713.20 × 83,029.20
  4. Step 4: Simplify right side
    171,772.80x = 21,397,720,825.44
  5. Step 5: Solve for x
    x = 21,397,720,825.44/171,772.80
  6. Step 6: Final answer
    x = 124,569.90

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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.