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Finding the Fourth Proportional to 205,085.80, 307,628.70 and 171,260.20

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Solution

The fourth proportional to 205,085.80, 307,628.70 and 171,260.20 is: 256,890.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,085.80 : 307,628.70 = 171,260.20 : x
  2. Step 2: Convert to fraction form
    205,085.80/307,628.70 = 171,260.20/x
  3. Step 3: Cross multiply
    205,085.80x = 307,628.70 × 171,260.20
  4. Step 4: Simplify right side
    205,085.80x = 52,684,552,687.74
  5. Step 5: Solve for x
    x = 52,684,552,687.74/205,085.80
  6. Step 6: Final answer
    x = 256,890.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.