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Finding the Fourth Proportional to 142,096.63, 196,107.74 and 122,019.97

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Solution

The fourth proportional to 142,096.63, 196,107.74 and 122,019.97 is: 168,399.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,096.63 : 196,107.74 = 122,019.97 : x
  2. Step 2: Convert to fraction form
    142,096.63/196,107.74 = 122,019.97/x
  3. Step 3: Cross multiply
    142,096.63x = 196,107.74 × 122,019.97
  4. Step 4: Simplify right side
    142,096.63x = 23,929,059,941.47
  5. Step 5: Solve for x
    x = 23,929,059,941.47/142,096.63
  6. Step 6: Final answer
    x = 168,399.91

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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.