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Finding the Fourth Proportional to 205,339.56, 283,365.57 and 114,696.78

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Solution

The fourth proportional to 205,339.56, 283,365.57 and 114,696.78 is: 158,279.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,339.56 : 283,365.57 = 114,696.78 : x
  2. Step 2: Convert to fraction form
    205,339.56/283,365.57 = 114,696.78/x
  3. Step 3: Cross multiply
    205,339.56x = 283,365.57 × 114,696.78
  4. Step 4: Simplify right side
    205,339.56x = 32,501,118,441.86
  5. Step 5: Solve for x
    x = 32,501,118,441.86/205,339.56
  6. Step 6: Final answer
    x = 158,279.87

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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.