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Finding the Fourth Proportional to 205,103.17, 283,041.81 and 114,458.17

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Solution

The fourth proportional to 205,103.17, 283,041.81 and 114,458.17 is: 157,951.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,103.17 : 283,041.81 = 114,458.17 : x
  2. Step 2: Convert to fraction form
    205,103.17/283,041.81 = 114,458.17/x
  3. Step 3: Cross multiply
    205,103.17x = 283,041.81 × 114,458.17
  4. Step 4: Simplify right side
    205,103.17x = 32,396,447,606.09
  5. Step 5: Solve for x
    x = 32,396,447,606.09/205,103.17
  6. Step 6: Final answer
    x = 157,951.96

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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.