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Finding the Fourth Proportional to 146,099.37, 219,283.77 and 74,102.82

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Solution

The fourth proportional to 146,099.37, 219,283.77 and 74,102.82 is: 111,222.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,099.37 : 219,283.77 = 74,102.82 : x
  2. Step 2: Convert to fraction form
    146,099.37/219,283.77 = 74,102.82/x
  3. Step 3: Cross multiply
    146,099.37x = 219,283.77 × 74,102.82
  4. Step 4: Simplify right side
    146,099.37x = 16,249,545,737.23
  5. Step 5: Solve for x
    x = 16,249,545,737.23/146,099.37
  6. Step 6: Final answer
    x = 111,222.56

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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.