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Finding the Fourth Proportional to 234,497.32, 351,778.74 and 76,694.32

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Solution

The fourth proportional to 234,497.32, 351,778.74 and 76,694.32 is: 115,052.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,497.32 : 351,778.74 = 76,694.32 : x
  2. Step 2: Convert to fraction form
    234,497.32/351,778.74 = 76,694.32/x
  3. Step 3: Cross multiply
    234,497.32x = 351,778.74 × 76,694.32
  4. Step 4: Simplify right side
    234,497.32x = 26,979,431,254.76
  5. Step 5: Solve for x
    x = 26,979,431,254.76/234,497.32
  6. Step 6: Final answer
    x = 115,052.19

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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.