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Finding the Fourth Proportional to 196,400.24, 294,051.24 and 106,119.46

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Solution

The fourth proportional to 196,400.24, 294,051.24 and 106,119.46 is: 158,882.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,400.24 : 294,051.24 = 106,119.46 : x
  2. Step 2: Convert to fraction form
    196,400.24/294,051.24 = 106,119.46/x
  3. Step 3: Cross multiply
    196,400.24x = 294,051.24 × 106,119.46
  4. Step 4: Simplify right side
    196,400.24x = 31,204,558,066.00
  5. Step 5: Solve for x
    x = 31,204,558,066.00/196,400.24
  6. Step 6: Final answer
    x = 158,882.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.