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Finding the Fourth Proportional to 109,893.20, 164,839.80 and 72,471.20

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Solution

The fourth proportional to 109,893.20, 164,839.80 and 72,471.20 is: 108,706.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,893.20 : 164,839.80 = 72,471.20 : x
  2. Step 2: Convert to fraction form
    109,893.20/164,839.80 = 72,471.20/x
  3. Step 3: Cross multiply
    109,893.20x = 164,839.80 × 72,471.20
  4. Step 4: Simplify right side
    109,893.20x = 11,946,138,113.76
  5. Step 5: Solve for x
    x = 11,946,138,113.76/109,893.20
  6. Step 6: Final answer
    x = 108,706.80

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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.