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Finding the Fourth Proportional to 109,615.80, 164,423.70 and 81,622.20

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Solution

The fourth proportional to 109,615.80, 164,423.70 and 81,622.20 is: 122,433.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,615.80 : 164,423.70 = 81,622.20 : x
  2. Step 2: Convert to fraction form
    109,615.80/164,423.70 = 81,622.20/x
  3. Step 3: Cross multiply
    109,615.80x = 164,423.70 × 81,622.20
  4. Step 4: Simplify right side
    109,615.80x = 13,420,624,126.14
  5. Step 5: Solve for x
    x = 13,420,624,126.14/109,615.80
  6. Step 6: Final answer
    x = 122,433.30

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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.