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Finding the Fourth Proportional to 205,750.20, 308,625.30 and 170,758.20

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Solution

The fourth proportional to 205,750.20, 308,625.30 and 170,758.20 is: 256,137.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,750.20 : 308,625.30 = 170,758.20 : x
  2. Step 2: Convert to fraction form
    205,750.20/308,625.30 = 170,758.20/x
  3. Step 3: Cross multiply
    205,750.20x = 308,625.30 × 170,758.20
  4. Step 4: Simplify right side
    205,750.20x = 52,700,300,702.46
  5. Step 5: Solve for x
    x = 52,700,300,702.46/205,750.20
  6. Step 6: Final answer
    x = 256,137.30

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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.