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Finding the Fourth Proportional to 205,258.96, 283,256.52 and 115,834.32

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Solution

The fourth proportional to 205,258.96, 283,256.52 and 115,834.32 is: 159,850.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,258.96 : 283,256.52 = 115,834.32 : x
  2. Step 2: Convert to fraction form
    205,258.96/283,256.52 = 115,834.32/x
  3. Step 3: Cross multiply
    205,258.96x = 283,256.52 × 115,834.32
  4. Step 4: Simplify right side
    205,258.96x = 32,810,826,379.77
  5. Step 5: Solve for x
    x = 32,810,826,379.77/205,258.96
  6. Step 6: Final answer
    x = 159,850.88

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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.