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Finding the Fourth Proportional to 194,806.70, 268,878 and 114,260.17

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Solution

The fourth proportional to 194,806.70, 268,878 and 114,260.17 is: 157,705.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,806.70 : 268,878 = 114,260.17 : x
  2. Step 2: Convert to fraction form
    194,806.70/268,878 = 114,260.17/x
  3. Step 3: Cross multiply
    194,806.70x = 268,878 × 114,260.17
  4. Step 4: Simplify right side
    194,806.70x = 30,722,045,989.26
  5. Step 5: Solve for x
    x = 30,722,045,989.26/194,806.70
  6. Step 6: Final answer
    x = 157,705.28

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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.