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Finding the Fourth Proportional to 229,204.50, 343,945 and 97,876.50

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Solution

The fourth proportional to 229,204.50, 343,945 and 97,876.50 is: 146,873.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,204.50 : 343,945 = 97,876.50 : x
  2. Step 2: Convert to fraction form
    229,204.50/343,945 = 97,876.50/x
  3. Step 3: Cross multiply
    229,204.50x = 343,945 × 97,876.50
  4. Step 4: Simplify right side
    229,204.50x = 33,664,132,792.50
  5. Step 5: Solve for x
    x = 33,664,132,792.50/229,204.50
  6. Step 6: Final answer
    x = 146,873.79

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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.