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Finding the Fourth Proportional to 142,197, 196,289.10 and 96,920.70

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Solution

The fourth proportional to 142,197, 196,289.10 and 96,920.70 is: 133,789.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,197 : 196,289.10 = 96,920.70 : x
  2. Step 2: Convert to fraction form
    142,197/196,289.10 = 96,920.70/x
  3. Step 3: Cross multiply
    142,197x = 196,289.10 × 96,920.70
  4. Step 4: Simplify right side
    142,197x = 19,024,476,974.37
  5. Step 5: Solve for x
    x = 19,024,476,974.37/142,197
  6. Step 6: Final answer
    x = 133,789.58

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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.