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Finding the Fourth Proportional to 205,442.42, 308,163.62 and 55,682.71

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Solution

The fourth proportional to 205,442.42, 308,163.62 and 55,682.71 is: 83,524.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,442.42 : 308,163.62 = 55,682.71 : x
  2. Step 2: Convert to fraction form
    205,442.42/308,163.62 = 55,682.71/x
  3. Step 3: Cross multiply
    205,442.42x = 308,163.62 × 55,682.71
  4. Step 4: Simplify right side
    205,442.42x = 17,159,384,436.19
  5. Step 5: Solve for x
    x = 17,159,384,436.19/205,442.42
  6. Step 6: Final answer
    x = 83,524.06

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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.