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Finding the Fourth Proportional to 205,674.12, 283,808.34 and 115,020.72

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Solution

The fourth proportional to 205,674.12, 283,808.34 and 115,020.72 is: 158,716.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,674.12 : 283,808.34 = 115,020.72 : x
  2. Step 2: Convert to fraction form
    205,674.12/283,808.34 = 115,020.72/x
  3. Step 3: Cross multiply
    205,674.12x = 283,808.34 × 115,020.72
  4. Step 4: Simplify right side
    205,674.12x = 32,643,839,608.80
  5. Step 5: Solve for x
    x = 32,643,839,608.80/205,674.12
  6. Step 6: Final answer
    x = 158,716.32

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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.