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Finding the Fourth Proportional to 214,231.38, 295,627.56 and 118,732.38

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Solution

The fourth proportional to 214,231.38, 295,627.56 and 118,732.38 is: 163,844.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,231.38 : 295,627.56 = 118,732.38 : x
  2. Step 2: Convert to fraction form
    214,231.38/295,627.56 = 118,732.38/x
  3. Step 3: Cross multiply
    214,231.38x = 295,627.56 × 118,732.38
  4. Step 4: Simplify right side
    214,231.38x = 35,100,563,792.39
  5. Step 5: Solve for x
    x = 35,100,563,792.39/214,231.38
  6. Step 6: Final answer
    x = 163,844.18

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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.