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Finding the Fourth Proportional to 205,077, 283,006.26 and 115,653

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Solution

The fourth proportional to 205,077, 283,006.26 and 115,653 is: 159,601.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,077 : 283,006.26 = 115,653 : x
  2. Step 2: Convert to fraction form
    205,077/283,006.26 = 115,653/x
  3. Step 3: Cross multiply
    205,077x = 283,006.26 × 115,653
  4. Step 4: Simplify right side
    205,077x = 32,730,522,987.78
  5. Step 5: Solve for x
    x = 32,730,522,987.78/205,077
  6. Step 6: Final answer
    x = 159,601.14

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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.