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Finding the Fourth Proportional to 165,640.31, 248,146.98 and 97,969.67

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Solution

The fourth proportional to 165,640.31, 248,146.98 and 97,969.67 is: 146,769.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,640.31 : 248,146.98 = 97,969.67 : x
  2. Step 2: Convert to fraction form
    165,640.31/248,146.98 = 97,969.67/x
  3. Step 3: Cross multiply
    165,640.31x = 248,146.98 × 97,969.67
  4. Step 4: Simplify right side
    165,640.31x = 24,310,876,501.36
  5. Step 5: Solve for x
    x = 24,310,876,501.36/165,640.31
  6. Step 6: Final answer
    x = 146,769.09

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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.