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Finding the Fourth Proportional to 204,792.36, 282,612.81 and 114,147.30

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Solution

The fourth proportional to 204,792.36, 282,612.81 and 114,147.30 is: 157,522.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,792.36 : 282,612.81 = 114,147.30 : x
  2. Step 2: Convert to fraction form
    204,792.36/282,612.81 = 114,147.30/x
  3. Step 3: Cross multiply
    204,792.36x = 282,612.81 × 114,147.30
  4. Step 4: Simplify right side
    204,792.36x = 32,259,489,206.91
  5. Step 5: Solve for x
    x = 32,259,489,206.91/204,792.36
  6. Step 6: Final answer
    x = 157,522.91

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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.