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Finding the Fourth Proportional to 204,949, 282,829.62 and 110,741

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Solution

The fourth proportional to 204,949, 282,829.62 and 110,741 is: 152,822.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,949 : 282,829.62 = 110,741 : x
  2. Step 2: Convert to fraction form
    204,949/282,829.62 = 110,741/x
  3. Step 3: Cross multiply
    204,949x = 282,829.62 × 110,741
  4. Step 4: Simplify right side
    204,949x = 31,320,834,948.42
  5. Step 5: Solve for x
    x = 31,320,834,948.42/204,949
  6. Step 6: Final answer
    x = 152,822.58

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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.