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Finding the Fourth Proportional to 205,770.32, 283,971.12 and 120,886.64

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Solution

The fourth proportional to 205,770.32, 283,971.12 and 120,886.64 is: 166,828.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,770.32 : 283,971.12 = 120,886.64 : x
  2. Step 2: Convert to fraction form
    205,770.32/283,971.12 = 120,886.64/x
  3. Step 3: Cross multiply
    205,770.32x = 283,971.12 × 120,886.64
  4. Step 4: Simplify right side
    205,770.32x = 34,328,314,553.84
  5. Step 5: Solve for x
    x = 34,328,314,553.84/205,770.32
  6. Step 6: Final answer
    x = 166,828.31

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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.