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Finding the Fourth Proportional to 214,395.80, 295,884.38 and 118,933.25

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Solution

The fourth proportional to 214,395.80, 295,884.38 and 118,933.25 is: 164,137.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,395.80 : 295,884.38 = 118,933.25 : x
  2. Step 2: Convert to fraction form
    214,395.80/295,884.38 = 118,933.25/x
  3. Step 3: Cross multiply
    214,395.80x = 295,884.38 × 118,933.25
  4. Step 4: Simplify right side
    214,395.80x = 35,190,490,937.64
  5. Step 5: Solve for x
    x = 35,190,490,937.64/214,395.80
  6. Step 6: Final answer
    x = 164,137.97

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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.