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Finding the Fourth Proportional to 204,563.52, 282,374.64 and 119,707.92

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Solution

The fourth proportional to 204,563.52, 282,374.64 and 119,707.92 is: 165,241.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,563.52 : 282,374.64 = 119,707.92 : x
  2. Step 2: Convert to fraction form
    204,563.52/282,374.64 = 119,707.92/x
  3. Step 3: Cross multiply
    204,563.52x = 282,374.64 × 119,707.92
  4. Step 4: Simplify right side
    204,563.52x = 33,802,480,815.15
  5. Step 5: Solve for x
    x = 33,802,480,815.15/204,563.52
  6. Step 6: Final answer
    x = 165,241.98

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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.