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Finding the Fourth Proportional to 205,072.68, 283,007.12 and 119,025.24

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Solution

The fourth proportional to 205,072.68, 283,007.12 and 119,025.24 is: 164,258.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,072.68 : 283,007.12 = 119,025.24 : x
  2. Step 2: Convert to fraction form
    205,072.68/283,007.12 = 119,025.24/x
  3. Step 3: Cross multiply
    205,072.68x = 283,007.12 × 119,025.24
  4. Step 4: Simplify right side
    205,072.68x = 33,684,990,379.71
  5. Step 5: Solve for x
    x = 33,684,990,379.71/205,072.68
  6. Step 6: Final answer
    x = 164,258.79

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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.