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Finding the Fourth Proportional to 214,338.62, 295,796.76 and 118,839.26

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Solution

The fourth proportional to 214,338.62, 295,796.76 and 118,839.26 is: 164,003.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,338.62 : 295,796.76 = 118,839.26 : x
  2. Step 2: Convert to fraction form
    214,338.62/295,796.76 = 118,839.26/x
  3. Step 3: Cross multiply
    214,338.62x = 295,796.76 × 118,839.26
  4. Step 4: Simplify right side
    214,338.62x = 35,152,268,068.80
  5. Step 5: Solve for x
    x = 35,152,268,068.80/214,338.62
  6. Step 6: Final answer
    x = 164,003.43

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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.