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Finding the Fourth Proportional to 285,138.56, 393,424.34 and 194,682.90

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Solution

The fourth proportional to 285,138.56, 393,424.34 and 194,682.90 is: 268,616.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,138.56 : 393,424.34 = 194,682.90 : x
  2. Step 2: Convert to fraction form
    285,138.56/393,424.34 = 194,682.90/x
  3. Step 3: Cross multiply
    285,138.56x = 393,424.34 × 194,682.90
  4. Step 4: Simplify right side
    285,138.56x = 76,592,991,441.79
  5. Step 5: Solve for x
    x = 76,592,991,441.79/285,138.56
  6. Step 6: Final answer
    x = 268,616.74

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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.