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Finding the Fourth Proportional to 205,818.91, 283,989.32 and 115,157.29

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Solution

The fourth proportional to 205,818.91, 283,989.32 and 115,157.29 is: 158,894.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,818.91 : 283,989.32 = 115,157.29 : x
  2. Step 2: Convert to fraction form
    205,818.91/283,989.32 = 115,157.29/x
  3. Step 3: Cross multiply
    205,818.91x = 283,989.32 × 115,157.29
  4. Step 4: Simplify right side
    205,818.91x = 32,703,439,626.22
  5. Step 5: Solve for x
    x = 32,703,439,626.22/205,818.91
  6. Step 6: Final answer
    x = 158,894.24

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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.