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Finding the Fourth Proportional to 209,392.32, 313,969.44 and 142,913

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Solution

The fourth proportional to 209,392.32, 313,969.44 and 142,913 is: 214,288.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,392.32 : 313,969.44 = 142,913 : x
  2. Step 2: Convert to fraction form
    209,392.32/313,969.44 = 142,913/x
  3. Step 3: Cross multiply
    209,392.32x = 313,969.44 × 142,913
  4. Step 4: Simplify right side
    209,392.32x = 44,870,314,578.72
  5. Step 5: Solve for x
    x = 44,870,314,578.72/209,392.32
  6. Step 6: Final answer
    x = 214,288.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.