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Finding the Fourth Proportional to 194,705.87, 268,706.63 and 109,821.11

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Solution

The fourth proportional to 194,705.87, 268,706.63 and 109,821.11 is: 151,560.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,705.87 : 268,706.63 = 109,821.11 : x
  2. Step 2: Convert to fraction form
    194,705.87/268,706.63 = 109,821.11/x
  3. Step 3: Cross multiply
    194,705.87x = 268,706.63 × 109,821.11
  4. Step 4: Simplify right side
    194,705.87x = 29,509,659,301.98
  5. Step 5: Solve for x
    x = 29,509,659,301.98/194,705.87
  6. Step 6: Final answer
    x = 151,560.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.