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Finding the Fourth Proportional to 164,078.70, 226,323.54 and 103,542.54

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Solution

The fourth proportional to 164,078.70, 226,323.54 and 103,542.54 is: 142,822.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,078.70 : 226,323.54 = 103,542.54 : x
  2. Step 2: Convert to fraction form
    164,078.70/226,323.54 = 103,542.54/x
  3. Step 3: Cross multiply
    164,078.70x = 226,323.54 × 103,542.54
  4. Step 4: Simplify right side
    164,078.70x = 23,434,114,193.39
  5. Step 5: Solve for x
    x = 23,434,114,193.39/164,078.70
  6. Step 6: Final answer
    x = 142,822.40

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