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Finding the Fourth Proportional to 194,551.88, 268,481.59 and 105,127.88

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Solution

The fourth proportional to 194,551.88, 268,481.59 and 105,127.88 is: 145,076.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,551.88 : 268,481.59 = 105,127.88 : x
  2. Step 2: Convert to fraction form
    194,551.88/268,481.59 = 105,127.88/x
  3. Step 3: Cross multiply
    194,551.88x = 268,481.59 × 105,127.88
  4. Step 4: Simplify right side
    194,551.88x = 28,224,898,770.50
  5. Step 5: Solve for x
    x = 28,224,898,770.50/194,551.88
  6. Step 6: Final answer
    x = 145,076.47

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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.