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Finding the Fourth Proportional to 205,674.62, 283,809.03 and 115,021.22

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Solution

The fourth proportional to 205,674.62, 283,809.03 and 115,021.22 is: 158,717.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,674.62 : 283,809.03 = 115,021.22 : x
  2. Step 2: Convert to fraction form
    205,674.62/283,809.03 = 115,021.22/x
  3. Step 3: Cross multiply
    205,674.62x = 283,809.03 × 115,021.22
  4. Step 4: Simplify right side
    205,674.62x = 32,644,060,877.62
  5. Step 5: Solve for x
    x = 32,644,060,877.62/205,674.62
  6. Step 6: Final answer
    x = 158,717.01

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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.