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Finding the Fourth Proportional to 204,411.75, 282,092.54 and 114,987.75

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Solution

The fourth proportional to 204,411.75, 282,092.54 and 114,987.75 is: 158,685.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,411.75 : 282,092.54 = 114,987.75 : x
  2. Step 2: Convert to fraction form
    204,411.75/282,092.54 = 114,987.75/x
  3. Step 3: Cross multiply
    204,411.75x = 282,092.54 × 114,987.75
  4. Step 4: Simplify right side
    204,411.75x = 32,437,185,891.45
  5. Step 5: Solve for x
    x = 32,437,185,891.45/204,411.75
  6. Step 6: Final answer
    x = 158,685.53

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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.