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Finding the Fourth Proportional to 214,097.44, 295,457 and 118,606

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Solution

The fourth proportional to 214,097.44, 295,457 and 118,606 is: 163,677.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,097.44 : 295,457 = 118,606 : x
  2. Step 2: Convert to fraction form
    214,097.44/295,457 = 118,606/x
  3. Step 3: Cross multiply
    214,097.44x = 295,457 × 118,606
  4. Step 4: Simplify right side
    214,097.44x = 35,042,972,942
  5. Step 5: Solve for x
    x = 35,042,972,942/214,097.44
  6. Step 6: Final answer
    x = 163,677.68

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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.