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Finding the Fourth Proportional to 229,189.50, 343,922.49 and 97,861.50

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Solution

The fourth proportional to 229,189.50, 343,922.49 and 97,861.50 is: 146,851.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,189.50 : 343,922.49 = 97,861.50 : x
  2. Step 2: Convert to fraction form
    229,189.50/343,922.49 = 97,861.50/x
  3. Step 3: Cross multiply
    229,189.50x = 343,922.49 × 97,861.50
  4. Step 4: Simplify right side
    229,189.50x = 33,656,770,755.14
  5. Step 5: Solve for x
    x = 33,656,770,755.14/229,189.50
  6. Step 6: Final answer
    x = 146,851.28

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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.