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Finding the Fourth Proportional to 204,510.84, 282,224.34 and 113,864.46

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Solution

The fourth proportional to 204,510.84, 282,224.34 and 113,864.46 is: 157,132.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,510.84 : 282,224.34 = 113,864.46 : x
  2. Step 2: Convert to fraction form
    204,510.84/282,224.34 = 113,864.46/x
  3. Step 3: Cross multiply
    204,510.84x = 282,224.34 × 113,864.46
  4. Step 4: Simplify right side
    204,510.84x = 32,135,322,072.96
  5. Step 5: Solve for x
    x = 32,135,322,072.96/204,510.84
  6. Step 6: Final answer
    x = 157,132.61

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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.