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Finding the Fourth Proportional to 205,665.16, 283,821.80 and 125,096.08

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Solution

The fourth proportional to 205,665.16, 283,821.80 and 125,096.08 is: 172,634.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,665.16 : 283,821.80 = 125,096.08 : x
  2. Step 2: Convert to fraction form
    205,665.16/283,821.80 = 125,096.08/x
  3. Step 3: Cross multiply
    205,665.16x = 283,821.80 × 125,096.08
  4. Step 4: Simplify right side
    205,665.16x = 35,504,994,598.54
  5. Step 5: Solve for x
    x = 35,504,994,598.54/205,665.16
  6. Step 6: Final answer
    x = 172,634.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.