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Finding the Fourth Proportional to 221,412, 305,546.94 and 125,918.58

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Solution

The fourth proportional to 221,412, 305,546.94 and 125,918.58 is: 173,766.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,412 : 305,546.94 = 125,918.58 : x
  2. Step 2: Convert to fraction form
    221,412/305,546.94 = 125,918.58/x
  3. Step 3: Cross multiply
    221,412x = 305,546.94 × 125,918.58
  4. Step 4: Simplify right side
    221,412x = 38,474,036,808.15
  5. Step 5: Solve for x
    x = 38,474,036,808.15/221,412
  6. Step 6: Final answer
    x = 173,766.72

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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.