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Finding the Fourth Proportional to 268,233.60, 401,694.30 and 127,828.20

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Solution

The fourth proportional to 268,233.60, 401,694.30 and 127,828.20 is: 191,429.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,233.60 : 401,694.30 = 127,828.20 : x
  2. Step 2: Convert to fraction form
    268,233.60/401,694.30 = 127,828.20/x
  3. Step 3: Cross multiply
    268,233.60x = 401,694.30 × 127,828.20
  4. Step 4: Simplify right side
    268,233.60x = 51,347,859,319.26
  5. Step 5: Solve for x
    x = 51,347,859,319.26/268,233.60
  6. Step 6: Final answer
    x = 191,429.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.