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Finding the Fourth Proportional to 196,294.10, 294,220.40 and 99,961

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Solution

The fourth proportional to 196,294.10, 294,220.40 and 99,961 is: 149,829.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,294.10 : 294,220.40 = 99,961 : x
  2. Step 2: Convert to fraction form
    196,294.10/294,220.40 = 99,961/x
  3. Step 3: Cross multiply
    196,294.10x = 294,220.40 × 99,961
  4. Step 4: Simplify right side
    196,294.10x = 29,410,565,404.40
  5. Step 5: Solve for x
    x = 29,410,565,404.40/196,294.10
  6. Step 6: Final answer
    x = 149,829.09

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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.