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Finding the Fourth Proportional to 142,961, 197,286.34 and 83,356.52

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Solution

The fourth proportional to 142,961, 197,286.34 and 83,356.52 is: 115,032.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,961 : 197,286.34 = 83,356.52 : x
  2. Step 2: Convert to fraction form
    142,961/197,286.34 = 83,356.52/x
  3. Step 3: Cross multiply
    142,961x = 197,286.34 × 83,356.52
  4. Step 4: Simplify right side
    142,961x = 16,445,102,745.94
  5. Step 5: Solve for x
    x = 16,445,102,745.94/142,961
  6. Step 6: Final answer
    x = 115,032.09

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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.