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Finding the Fourth Proportional to 213,826, 320,591.16 and 153,891.28

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Solution

The fourth proportional to 213,826, 320,591.16 and 153,891.28 is: 230,730.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,826 : 320,591.16 = 153,891.28 : x
  2. Step 2: Convert to fraction form
    213,826/320,591.16 = 153,891.28/x
  3. Step 3: Cross multiply
    213,826x = 320,591.16 × 153,891.28
  4. Step 4: Simplify right side
    213,826x = 49,336,183,969.08
  5. Step 5: Solve for x
    x = 49,336,183,969.08/213,826
  6. Step 6: Final answer
    x = 230,730.52

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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.