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Finding the Fourth Proportional to 97,338, 146,063.20 and 41,174.40

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Solution

The fourth proportional to 97,338, 146,063.20 and 41,174.40 is: 61,785.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,338 : 146,063.20 = 41,174.40 : x
  2. Step 2: Convert to fraction form
    97,338/146,063.20 = 41,174.40/x
  3. Step 3: Cross multiply
    97,338x = 146,063.20 × 41,174.40
  4. Step 4: Simplify right side
    97,338x = 6,014,064,622.08
  5. Step 5: Solve for x
    x = 6,014,064,622.08/97,338
  6. Step 6: Final answer
    x = 61,785.37

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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.