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Finding the Fourth Proportional to 164,116.37, 245,912.07 and 148,369.97

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Solution

The fourth proportional to 164,116.37, 245,912.07 and 148,369.97 is: 222,317.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,116.37 : 245,912.07 = 148,369.97 : x
  2. Step 2: Convert to fraction form
    164,116.37/245,912.07 = 148,369.97/x
  3. Step 3: Cross multiply
    164,116.37x = 245,912.07 × 148,369.97
  4. Step 4: Simplify right side
    164,116.37x = 36,485,966,448.54
  5. Step 5: Solve for x
    x = 36,485,966,448.54/164,116.37
  6. Step 6: Final answer
    x = 222,317.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.