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Finding the Fourth Proportional to 234,214.40, 351,321.60 and 65,734.40

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Solution

The fourth proportional to 234,214.40, 351,321.60 and 65,734.40 is: 98,601.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,214.40 : 351,321.60 = 65,734.40 : x
  2. Step 2: Convert to fraction form
    234,214.40/351,321.60 = 65,734.40/x
  3. Step 3: Cross multiply
    234,214.40x = 351,321.60 × 65,734.40
  4. Step 4: Simplify right side
    234,214.40x = 23,093,914,583.04
  5. Step 5: Solve for x
    x = 23,093,914,583.04/234,214.40
  6. Step 6: Final answer
    x = 98,601.60

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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.