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Finding the Fourth Proportional to 205,084.14, 283,025.16 and 114,440.46

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Solution

The fourth proportional to 205,084.14, 283,025.16 and 114,440.46 is: 157,932.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,084.14 : 283,025.16 = 114,440.46 : x
  2. Step 2: Convert to fraction form
    205,084.14/283,025.16 = 114,440.46/x
  3. Step 3: Cross multiply
    205,084.14x = 283,025.16 × 114,440.46
  4. Step 4: Simplify right side
    205,084.14x = 32,389,529,501.97
  5. Step 5: Solve for x
    x = 32,389,529,501.97/205,084.14
  6. Step 6: Final answer
    x = 157,932.88

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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.