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Finding the Fourth Proportional to 194,561, 268,494.18 and 105,137

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Solution

The fourth proportional to 194,561, 268,494.18 and 105,137 is: 145,089.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,561 : 268,494.18 = 105,137 : x
  2. Step 2: Convert to fraction form
    194,561/268,494.18 = 105,137/x
  3. Step 3: Cross multiply
    194,561x = 268,494.18 × 105,137
  4. Step 4: Simplify right side
    194,561x = 28,228,672,602.66
  5. Step 5: Solve for x
    x = 28,228,672,602.66/194,561
  6. Step 6: Final answer
    x = 145,089.06

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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.