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Finding the Fourth Proportional to 230,991.48, 346,523.70 and 97,872.60

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Solution

The fourth proportional to 230,991.48, 346,523.70 and 97,872.60 is: 146,824.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,991.48 : 346,523.70 = 97,872.60 : x
  2. Step 2: Convert to fraction form
    230,991.48/346,523.70 = 97,872.60/x
  3. Step 3: Cross multiply
    230,991.48x = 346,523.70 × 97,872.60
  4. Step 4: Simplify right side
    230,991.48x = 33,915,175,480.62
  5. Step 5: Solve for x
    x = 33,915,175,480.62/230,991.48
  6. Step 6: Final answer
    x = 146,824.36

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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.