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Finding the Fourth Proportional to 204,695.25, 282,481.28 and 119,814.14

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Solution

The fourth proportional to 204,695.25, 282,481.28 and 119,814.14 is: 165,344.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,695.25 : 282,481.28 = 119,814.14 : x
  2. Step 2: Convert to fraction form
    204,695.25/282,481.28 = 119,814.14/x
  3. Step 3: Cross multiply
    204,695.25x = 282,481.28 × 119,814.14
  4. Step 4: Simplify right side
    204,695.25x = 33,845,249,617.82
  5. Step 5: Solve for x
    x = 33,845,249,617.82/204,695.25
  6. Step 6: Final answer
    x = 165,344.58

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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.