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Finding the Fourth Proportional to 268,099.20, 401,954.40 and 110,246.40

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Solution

The fourth proportional to 268,099.20, 401,954.40 and 110,246.40 is: 165,289.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,099.20 : 401,954.40 = 110,246.40 : x
  2. Step 2: Convert to fraction form
    268,099.20/401,954.40 = 110,246.40/x
  3. Step 3: Cross multiply
    268,099.20x = 401,954.40 × 110,246.40
  4. Step 4: Simplify right side
    268,099.20x = 44,314,025,564.16
  5. Step 5: Solve for x
    x = 44,314,025,564.16/268,099.20
  6. Step 6: Final answer
    x = 165,289.66

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Why These Related Problems?

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