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Finding the Fourth Proportional to 97,467.40, 146,201.10 and 27,358.60

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Solution

The fourth proportional to 97,467.40, 146,201.10 and 27,358.60 is: 41,037.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,467.40 : 146,201.10 = 27,358.60 : x
  2. Step 2: Convert to fraction form
    97,467.40/146,201.10 = 27,358.60/x
  3. Step 3: Cross multiply
    97,467.40x = 146,201.10 × 27,358.60
  4. Step 4: Simplify right side
    97,467.40x = 3,999,857,414.46
  5. Step 5: Solve for x
    x = 3,999,857,414.46/97,467.40
  6. Step 6: Final answer
    x = 41,037.90

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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.