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Finding the Fourth Proportional to 109,933.20, 164,802.60 and 65,512.80

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Solution

The fourth proportional to 109,933.20, 164,802.60 and 65,512.80 is: 98,211.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,933.20 : 164,802.60 = 65,512.80 : x
  2. Step 2: Convert to fraction form
    109,933.20/164,802.60 = 65,512.80/x
  3. Step 3: Cross multiply
    109,933.20x = 164,802.60 × 65,512.80
  4. Step 4: Simplify right side
    109,933.20x = 10,796,679,773.28
  5. Step 5: Solve for x
    x = 10,796,679,773.28/109,933.20
  6. Step 6: Final answer
    x = 98,211.28

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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.