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Finding the Fourth Proportional to 205,388.80, 283,408.50 and 114,733.56

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Solution

The fourth proportional to 205,388.80, 283,408.50 and 114,733.56 is: 158,316.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,388.80 : 283,408.50 = 114,733.56 : x
  2. Step 2: Convert to fraction form
    205,388.80/283,408.50 = 114,733.56/x
  3. Step 3: Cross multiply
    205,388.80x = 283,408.50 × 114,733.56
  4. Step 4: Simplify right side
    205,388.80x = 32,516,464,722.22
  5. Step 5: Solve for x
    x = 32,516,464,722.22/205,388.80
  6. Step 6: Final answer
    x = 158,316.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.