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Finding the Fourth Proportional to 229,181.50, 343,910.49 and 97,853.50

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Solution

The fourth proportional to 229,181.50, 343,910.49 and 97,853.50 is: 146,839.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,181.50 : 343,910.49 = 97,853.50 : x
  2. Step 2: Convert to fraction form
    229,181.50/343,910.49 = 97,853.50/x
  3. Step 3: Cross multiply
    229,181.50x = 343,910.49 × 97,853.50
  4. Step 4: Simplify right side
    229,181.50x = 33,652,845,133.22
  5. Step 5: Solve for x
    x = 33,652,845,133.22/229,181.50
  6. Step 6: Final answer
    x = 146,839.27

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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.