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Finding the Fourth Proportional to 209,216.37, 313,826.76 and 82,887.36

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Solution

The fourth proportional to 209,216.37, 313,826.76 and 82,887.36 is: 124,331.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,216.37 : 313,826.76 = 82,887.36 : x
  2. Step 2: Convert to fraction form
    209,216.37/313,826.76 = 82,887.36/x
  3. Step 3: Cross multiply
    209,216.37x = 313,826.76 × 82,887.36
  4. Step 4: Simplify right side
    209,216.37x = 26,012,271,633.75
  5. Step 5: Solve for x
    x = 26,012,271,633.75/209,216.37
  6. Step 6: Final answer
    x = 124,331.91

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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.