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Finding the Fourth Proportional to 285,460.57, 393,930.16 and 158,137.21

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Solution

The fourth proportional to 285,460.57, 393,930.16 and 158,137.21 is: 218,226.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,460.57 : 393,930.16 = 158,137.21 : x
  2. Step 2: Convert to fraction form
    285,460.57/393,930.16 = 158,137.21/x
  3. Step 3: Cross multiply
    285,460.57x = 393,930.16 × 158,137.21
  4. Step 4: Simplify right side
    285,460.57x = 62,295,016,437.25
  5. Step 5: Solve for x
    x = 62,295,016,437.25/285,460.57
  6. Step 6: Final answer
    x = 218,226.34

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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.