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Finding the Fourth Proportional to 197,022, 271,890.36 and 107,598

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Solution

The fourth proportional to 197,022, 271,890.36 and 107,598 is: 148,485.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,022 : 271,890.36 = 107,598 : x
  2. Step 2: Convert to fraction form
    197,022/271,890.36 = 107,598/x
  3. Step 3: Cross multiply
    197,022x = 271,890.36 × 107,598
  4. Step 4: Simplify right side
    197,022x = 29,254,858,955.28
  5. Step 5: Solve for x
    x = 29,254,858,955.28/197,022
  6. Step 6: Final answer
    x = 148,485.24

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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.