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Finding the Fourth Proportional to 204,961, 282,846.18 and 115,537

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Solution

The fourth proportional to 204,961, 282,846.18 and 115,537 is: 159,441.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,961 : 282,846.18 = 115,537 : x
  2. Step 2: Convert to fraction form
    204,961/282,846.18 = 115,537/x
  3. Step 3: Cross multiply
    204,961x = 282,846.18 × 115,537
  4. Step 4: Simplify right side
    204,961x = 32,679,199,098.66
  5. Step 5: Solve for x
    x = 32,679,199,098.66/204,961
  6. Step 6: Final answer
    x = 159,441.06

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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.