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Finding the Fourth Proportional to 214,396.41, 295,819.73 and 123,733.11

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Solution

The fourth proportional to 214,396.41, 295,819.73 and 123,733.11 is: 170,724.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,396.41 : 295,819.73 = 123,733.11 : x
  2. Step 2: Convert to fraction form
    214,396.41/295,819.73 = 123,733.11/x
  3. Step 3: Cross multiply
    214,396.41x = 295,819.73 × 123,733.11
  4. Step 4: Simplify right side
    214,396.41x = 36,602,694,573.59
  5. Step 5: Solve for x
    x = 36,602,694,573.59/214,396.41
  6. Step 6: Final answer
    x = 170,724.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.