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Finding the Fourth Proportional to 194,777.14, 268,787 and 109,902.10

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Solution

The fourth proportional to 194,777.14, 268,787 and 109,902.10 is: 151,661.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,777.14 : 268,787 = 109,902.10 : x
  2. Step 2: Convert to fraction form
    194,777.14/268,787 = 109,902.10/x
  3. Step 3: Cross multiply
    194,777.14x = 268,787 × 109,902.10
  4. Step 4: Simplify right side
    194,777.14x = 29,540,255,752.70
  5. Step 5: Solve for x
    x = 29,540,255,752.70/194,777.14
  6. Step 6: Final answer
    x = 151,661.82

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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.