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Finding the Fourth Proportional to 204,952, 282,833.76 and 110,744

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Solution

The fourth proportional to 204,952, 282,833.76 and 110,744 is: 152,826.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,952 : 282,833.76 = 110,744 : x
  2. Step 2: Convert to fraction form
    204,952/282,833.76 = 110,744/x
  3. Step 3: Cross multiply
    204,952x = 282,833.76 × 110,744
  4. Step 4: Simplify right side
    204,952x = 31,322,141,917.44
  5. Step 5: Solve for x
    x = 31,322,141,917.44/204,952
  6. Step 6: Final answer
    x = 152,826.72

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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.