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Finding the Fourth Proportional to 204,433.91, 282,118.80 and 113,787.93

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Solution

The fourth proportional to 204,433.91, 282,118.80 and 113,787.93 is: 157,027.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,433.91 : 282,118.80 = 113,787.93 : x
  2. Step 2: Convert to fraction form
    204,433.91/282,118.80 = 113,787.93/x
  3. Step 3: Cross multiply
    204,433.91x = 282,118.80 × 113,787.93
  4. Step 4: Simplify right side
    204,433.91x = 32,101,713,370.36
  5. Step 5: Solve for x
    x = 32,101,713,370.36/204,433.91
  6. Step 6: Final answer
    x = 157,027.34

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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.