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Finding the Fourth Proportional to 117,213.21, 175,914.05 and 61,070.09

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Solution

The fourth proportional to 117,213.21, 175,914.05 and 61,070.09 is: 91,654.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,213.21 : 175,914.05 = 61,070.09 : x
  2. Step 2: Convert to fraction form
    117,213.21/175,914.05 = 61,070.09/x
  3. Step 3: Cross multiply
    117,213.21x = 175,914.05 × 61,070.09
  4. Step 4: Simplify right side
    117,213.21x = 10,743,085,680.84
  5. Step 5: Solve for x
    x = 10,743,085,680.84/117,213.21
  6. Step 6: Final answer
    x = 91,654.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.