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Finding the Fourth Proportional to 146,616.09, 219,942.25 and 51,826.73

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Solution

The fourth proportional to 146,616.09, 219,942.25 and 51,826.73 is: 77,746.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,616.09 : 219,942.25 = 51,826.73 : x
  2. Step 2: Convert to fraction form
    146,616.09/219,942.25 = 51,826.73/x
  3. Step 3: Cross multiply
    146,616.09x = 219,942.25 × 51,826.73
  4. Step 4: Simplify right side
    146,616.09x = 11,398,887,606.34
  5. Step 5: Solve for x
    x = 11,398,887,606.34/146,616.09
  6. Step 6: Final answer
    x = 77,746.50

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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.