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Finding the Fourth Proportional to 194,464, 268,360.52 and 105,040

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Solution

The fourth proportional to 194,464, 268,360.52 and 105,040 is: 144,955.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,464 : 268,360.52 = 105,040 : x
  2. Step 2: Convert to fraction form
    194,464/268,360.52 = 105,040/x
  3. Step 3: Cross multiply
    194,464x = 268,360.52 × 105,040
  4. Step 4: Simplify right side
    194,464x = 28,188,589,020.80
  5. Step 5: Solve for x
    x = 28,188,589,020.80/194,464
  6. Step 6: Final answer
    x = 144,955.31

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