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Finding the Fourth Proportional to 205,552.14, 283,635.42 and 114,913.14

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Solution

The fourth proportional to 205,552.14, 283,635.42 and 114,913.14 is: 158,565.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,552.14 : 283,635.42 = 114,913.14 : x
  2. Step 2: Convert to fraction form
    205,552.14/283,635.42 = 114,913.14/x
  3. Step 3: Cross multiply
    205,552.14x = 283,635.42 × 114,913.14
  4. Step 4: Simplify right side
    205,552.14x = 32,593,436,727.42
  5. Step 5: Solve for x
    x = 32,593,436,727.42/205,552.14
  6. Step 6: Final answer
    x = 158,565.30

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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.