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Finding the Fourth Proportional to 285,450.83, 393,946.14 and 158,138.27

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Solution

The fourth proportional to 285,450.83, 393,946.14 and 158,138.27 is: 218,244.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,450.83 : 393,946.14 = 158,138.27 : x
  2. Step 2: Convert to fraction form
    285,450.83/393,946.14 = 158,138.27/x
  3. Step 3: Cross multiply
    285,450.83x = 393,946.14 × 158,138.27
  4. Step 4: Simplify right side
    285,450.83x = 62,297,961,052.78
  5. Step 5: Solve for x
    x = 62,297,961,052.78/285,450.83
  6. Step 6: Final answer
    x = 218,244.11

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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.