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Finding the Fourth Proportional to 204,908.46, 282,767.94 and 114,267.04

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Solution

The fourth proportional to 204,908.46, 282,767.94 and 114,267.04 is: 157,685.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,908.46 : 282,767.94 = 114,267.04 : x
  2. Step 2: Convert to fraction form
    204,908.46/282,767.94 = 114,267.04/x
  3. Step 3: Cross multiply
    204,908.46x = 282,767.94 × 114,267.04
  4. Step 4: Simplify right side
    204,908.46x = 32,311,055,510.70
  5. Step 5: Solve for x
    x = 32,311,055,510.70/204,908.46
  6. Step 6: Final answer
    x = 157,685.32

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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.