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Finding the Fourth Proportional to 109,738.80, 164,802.60 and 84,839.40

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Solution

The fourth proportional to 109,738.80, 164,802.60 and 84,839.40 is: 127,409.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,738.80 : 164,802.60 = 84,839.40 : x
  2. Step 2: Convert to fraction form
    109,738.80/164,802.60 = 84,839.40/x
  3. Step 3: Cross multiply
    109,738.80x = 164,802.60 × 84,839.40
  4. Step 4: Simplify right side
    109,738.80x = 13,981,753,702.44
  5. Step 5: Solve for x
    x = 13,981,753,702.44/109,738.80
  6. Step 6: Final answer
    x = 127,409.39

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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.