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Finding the Fourth Proportional to 204,952.76, 282,836.46 and 114,305.72

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Solution

The fourth proportional to 204,952.76, 282,836.46 and 114,305.72 is: 157,742.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,952.76 : 282,836.46 = 114,305.72 : x
  2. Step 2: Convert to fraction form
    204,952.76/282,836.46 = 114,305.72/x
  3. Step 3: Cross multiply
    204,952.76x = 282,836.46 × 114,305.72
  4. Step 4: Simplify right side
    204,952.76x = 32,329,825,202.55
  5. Step 5: Solve for x
    x = 32,329,825,202.55/204,952.76
  6. Step 6: Final answer
    x = 157,742.81

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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.