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Finding the Fourth Proportional to 204,228.87, 281,833.33 and 114,804.87

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Solution

The fourth proportional to 204,228.87, 281,833.33 and 114,804.87 is: 158,429.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,228.87 : 281,833.33 = 114,804.87 : x
  2. Step 2: Convert to fraction form
    204,228.87/281,833.33 = 114,804.87/x
  3. Step 3: Cross multiply
    204,228.87x = 281,833.33 × 114,804.87
  4. Step 4: Simplify right side
    204,228.87x = 32,355,838,812.32
  5. Step 5: Solve for x
    x = 32,355,838,812.32/204,228.87
  6. Step 6: Final answer
    x = 158,429.31

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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.