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Finding the Fourth Proportional to 194,684.06, 268,664.02 and 105,260.06

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Solution

The fourth proportional to 194,684.06, 268,664.02 and 105,260.06 is: 145,258.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,684.06 : 268,664.02 = 105,260.06 : x
  2. Step 2: Convert to fraction form
    194,684.06/268,664.02 = 105,260.06/x
  3. Step 3: Cross multiply
    194,684.06x = 268,664.02 × 105,260.06
  4. Step 4: Simplify right side
    194,684.06x = 28,279,591,273.55
  5. Step 5: Solve for x
    x = 28,279,591,273.55/194,684.06
  6. Step 6: Final answer
    x = 145,258.89

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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.