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Finding the Fourth Proportional to 234,712.40, 351,485.40 and 188,056.40

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Solution

The fourth proportional to 234,712.40, 351,485.40 and 188,056.40 is: 281,617.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,712.40 : 351,485.40 = 188,056.40 : x
  2. Step 2: Convert to fraction form
    234,712.40/351,485.40 = 188,056.40/x
  3. Step 3: Cross multiply
    234,712.40x = 351,485.40 × 188,056.40
  4. Step 4: Simplify right side
    234,712.40x = 66,099,078,976.56
  5. Step 5: Solve for x
    x = 66,099,078,976.56/234,712.40
  6. Step 6: Final answer
    x = 281,617.33

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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.