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Finding the Fourth Proportional to 109,920, 164,769.22 and 43,334.36

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Solution

The fourth proportional to 109,920, 164,769.22 and 43,334.36 is: 64,957.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,920 : 164,769.22 = 43,334.36 : x
  2. Step 2: Convert to fraction form
    109,920/164,769.22 = 43,334.36/x
  3. Step 3: Cross multiply
    109,920x = 164,769.22 × 43,334.36
  4. Step 4: Simplify right side
    109,920x = 7,140,168,696.40
  5. Step 5: Solve for x
    x = 7,140,168,696.40/109,920
  6. Step 6: Final answer
    x = 64,957.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.