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Finding the Fourth Proportional to 205,122.77, 283,041.43 and 114,467.16

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Solution

The fourth proportional to 205,122.77, 283,041.43 and 114,467.16 is: 157,949.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,122.77 : 283,041.43 = 114,467.16 : x
  2. Step 2: Convert to fraction form
    205,122.77/283,041.43 = 114,467.16/x
  3. Step 3: Cross multiply
    205,122.77x = 283,041.43 × 114,467.16
  4. Step 4: Simplify right side
    205,122.77x = 32,398,948,654.44
  5. Step 5: Solve for x
    x = 32,398,948,654.44/205,122.77
  6. Step 6: Final answer
    x = 157,949.06

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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.