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Finding the Fourth Proportional to 204,128, 281,698.08 and 114,704

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Solution

The fourth proportional to 204,128, 281,698.08 and 114,704 is: 158,292.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,128 : 281,698.08 = 114,704 : x
  2. Step 2: Convert to fraction form
    204,128/281,698.08 = 114,704/x
  3. Step 3: Cross multiply
    204,128x = 281,698.08 × 114,704
  4. Step 4: Simplify right side
    204,128x = 32,311,896,568.32
  5. Step 5: Solve for x
    x = 32,311,896,568.32/204,128
  6. Step 6: Final answer
    x = 158,292.33

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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.