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Finding the Fourth Proportional to 196,419.34, 294,758.14 and 107,735

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Solution

The fourth proportional to 196,419.34, 294,758.14 and 107,735 is: 161,673.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,419.34 : 294,758.14 = 107,735 : x
  2. Step 2: Convert to fraction form
    196,419.34/294,758.14 = 107,735/x
  3. Step 3: Cross multiply
    196,419.34x = 294,758.14 × 107,735
  4. Step 4: Simplify right side
    196,419.34x = 31,755,768,212.90
  5. Step 5: Solve for x
    x = 31,755,768,212.90/196,419.34
  6. Step 6: Final answer
    x = 161,673.33

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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.