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Finding the Fourth Proportional to 205,418.61, 283,449.50 and 114,763.32

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Solution

The fourth proportional to 205,418.61, 283,449.50 and 114,763.32 is: 158,357.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,418.61 : 283,449.50 = 114,763.32 : x
  2. Step 2: Convert to fraction form
    205,418.61/283,449.50 = 114,763.32/x
  3. Step 3: Cross multiply
    205,418.61x = 283,449.50 × 114,763.32
  4. Step 4: Simplify right side
    205,418.61x = 32,529,605,098.52
  5. Step 5: Solve for x
    x = 32,529,605,098.52/205,418.61
  6. Step 6: Final answer
    x = 158,357.63

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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.