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Finding the Fourth Proportional to 194,838, 268,876.44 and 105,414

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Solution

The fourth proportional to 194,838, 268,876.44 and 105,414 is: 145,471.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,838 : 268,876.44 = 105,414 : x
  2. Step 2: Convert to fraction form
    194,838/268,876.44 = 105,414/x
  3. Step 3: Cross multiply
    194,838x = 268,876.44 × 105,414
  4. Step 4: Simplify right side
    194,838x = 28,343,341,046.16
  5. Step 5: Solve for x
    x = 28,343,341,046.16/194,838
  6. Step 6: Final answer
    x = 145,471.32

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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.