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Finding the Fourth Proportional to 196,374.44, 294,562.92 and 83,960

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Solution

The fourth proportional to 196,374.44, 294,562.92 and 83,960 is: 125,940.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,374.44 : 294,562.92 = 83,960 : x
  2. Step 2: Convert to fraction form
    196,374.44/294,562.92 = 83,960/x
  3. Step 3: Cross multiply
    196,374.44x = 294,562.92 × 83,960
  4. Step 4: Simplify right side
    196,374.44x = 24,731,502,763.20
  5. Step 5: Solve for x
    x = 24,731,502,763.20/196,374.44
  6. Step 6: Final answer
    x = 125,940.54

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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.