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Finding the Fourth Proportional to 204,792.44, 282,614.90 and 114,154.16

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Solution

The fourth proportional to 204,792.44, 282,614.90 and 114,154.16 is: 157,533.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,792.44 : 282,614.90 = 114,154.16 : x
  2. Step 2: Convert to fraction form
    204,792.44/282,614.90 = 114,154.16/x
  3. Step 3: Cross multiply
    204,792.44x = 282,614.90 × 114,154.16
  4. Step 4: Simplify right side
    204,792.44x = 32,261,664,529.14
  5. Step 5: Solve for x
    x = 32,261,664,529.14/204,792.44
  6. Step 6: Final answer
    x = 157,533.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.