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Finding the Fourth Proportional to 164,840.21, 227,414.45 and 103,550.38

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Solution

The fourth proportional to 164,840.21, 227,414.45 and 103,550.38 is: 142,858.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,840.21 : 227,414.45 = 103,550.38 : x
  2. Step 2: Convert to fraction form
    164,840.21/227,414.45 = 103,550.38/x
  3. Step 3: Cross multiply
    164,840.21x = 227,414.45 × 103,550.38
  4. Step 4: Simplify right side
    164,840.21x = 23,548,853,684.54
  5. Step 5: Solve for x
    x = 23,548,853,684.54/164,840.21
  6. Step 6: Final answer
    x = 142,858.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.