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Finding the Fourth Proportional to 205,672.62, 283,806.27 and 115,019.22

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Solution

The fourth proportional to 205,672.62, 283,806.27 and 115,019.22 is: 158,714.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,672.62 : 283,806.27 = 115,019.22 : x
  2. Step 2: Convert to fraction form
    205,672.62/283,806.27 = 115,019.22/x
  3. Step 3: Cross multiply
    205,672.62x = 283,806.27 × 115,019.22
  4. Step 4: Simplify right side
    205,672.62x = 32,643,175,806.51
  5. Step 5: Solve for x
    x = 32,643,175,806.51/205,672.62
  6. Step 6: Final answer
    x = 158,714.25

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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.