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Finding the Fourth Proportional to 205,322.59, 283,342.17 and 114,679.85

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Solution

The fourth proportional to 205,322.59, 283,342.17 and 114,679.85 is: 158,256.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,322.59 : 283,342.17 = 114,679.85 : x
  2. Step 2: Convert to fraction form
    205,322.59/283,342.17 = 114,679.85/x
  3. Step 3: Cross multiply
    205,322.59x = 283,342.17 × 114,679.85
  4. Step 4: Simplify right side
    205,322.59x = 32,493,636,137.56
  5. Step 5: Solve for x
    x = 32,493,636,137.56/205,322.59
  6. Step 6: Final answer
    x = 158,256.51

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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.