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Finding the Fourth Proportional to 109,644.10, 164,138.10 and 97,834.30

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Solution

The fourth proportional to 109,644.10, 164,138.10 and 97,834.30 is: 146,458.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,644.10 : 164,138.10 = 97,834.30 : x
  2. Step 2: Convert to fraction form
    109,644.10/164,138.10 = 97,834.30/x
  3. Step 3: Cross multiply
    109,644.10x = 164,138.10 × 97,834.30
  4. Step 4: Simplify right side
    109,644.10x = 16,058,336,116.83
  5. Step 5: Solve for x
    x = 16,058,336,116.83/109,644.10
  6. Step 6: Final answer
    x = 146,458.73

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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.