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Finding the Fourth Proportional to 194,695.12, 268,671.36 and 108,657.82

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Solution

The fourth proportional to 194,695.12, 268,671.36 and 108,657.82 is: 149,943.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,695.12 : 268,671.36 = 108,657.82 : x
  2. Step 2: Convert to fraction form
    194,695.12/268,671.36 = 108,657.82/x
  3. Step 3: Cross multiply
    194,695.12x = 268,671.36 × 108,657.82
  4. Step 4: Simplify right side
    194,695.12x = 29,193,244,274.04
  5. Step 5: Solve for x
    x = 29,193,244,274.04/194,695.12
  6. Step 6: Final answer
    x = 149,943.38

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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.