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Finding the Fourth Proportional to 285,226.36, 428,260.07 and 159,113

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Solution

The fourth proportional to 285,226.36, 428,260.07 and 159,113 is: 238,904.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,226.36 : 428,260.07 = 159,113 : x
  2. Step 2: Convert to fraction form
    285,226.36/428,260.07 = 159,113/x
  3. Step 3: Cross multiply
    285,226.36x = 428,260.07 × 159,113
  4. Step 4: Simplify right side
    285,226.36x = 68,141,743,722.35
  5. Step 5: Solve for x
    x = 68,141,743,722.35/285,226.36
  6. Step 6: Final answer
    x = 238,904.09

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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.