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Finding the Fourth Proportional to 109,662.10, 164,493.15 and 101,788.90

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Solution

The fourth proportional to 109,662.10, 164,493.15 and 101,788.90 is: 152,683.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,662.10 : 164,493.15 = 101,788.90 : x
  2. Step 2: Convert to fraction form
    109,662.10/164,493.15 = 101,788.90/x
  3. Step 3: Cross multiply
    109,662.10x = 164,493.15 × 101,788.90
  4. Step 4: Simplify right side
    109,662.10x = 16,743,576,796.04
  5. Step 5: Solve for x
    x = 16,743,576,796.04/109,662.10
  6. Step 6: Final answer
    x = 152,683.35

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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.