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Finding the Fourth Proportional to 146,622.67, 219,024.28 and 106,321.74

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Solution

The fourth proportional to 146,622.67, 219,024.28 and 106,321.74 is: 158,822.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,622.67 : 219,024.28 = 106,321.74 : x
  2. Step 2: Convert to fraction form
    146,622.67/219,024.28 = 106,321.74/x
  3. Step 3: Cross multiply
    146,622.67x = 219,024.28 × 106,321.74
  4. Step 4: Simplify right side
    146,622.67x = 23,287,042,551.85
  5. Step 5: Solve for x
    x = 23,287,042,551.85/146,622.67
  6. Step 6: Final answer
    x = 158,822.93

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.