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Finding the Fourth Proportional to 204,642, 282,394.98 and 112,758.44

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Solution

The fourth proportional to 204,642, 282,394.98 and 112,758.44 is: 155,600.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,642 : 282,394.98 = 112,758.44 : x
  2. Step 2: Convert to fraction form
    204,642/282,394.98 = 112,758.44/x
  3. Step 3: Cross multiply
    204,642x = 282,394.98 × 112,758.44
  4. Step 4: Simplify right side
    204,642x = 31,842,415,996.66
  5. Step 5: Solve for x
    x = 31,842,415,996.66/204,642
  6. Step 6: Final answer
    x = 155,600.59

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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.