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Finding the Fourth Proportional to 197,454.50, 296,072.29 and 92,216.06

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Solution

The fourth proportional to 197,454.50, 296,072.29 and 92,216.06 is: 138,272.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,454.50 : 296,072.29 = 92,216.06 : x
  2. Step 2: Convert to fraction form
    197,454.50/296,072.29 = 92,216.06/x
  3. Step 3: Cross multiply
    197,454.50x = 296,072.29 × 92,216.06
  4. Step 4: Simplify right side
    197,454.50x = 27,302,620,058.98
  5. Step 5: Solve for x
    x = 27,302,620,058.98/197,454.50
  6. Step 6: Final answer
    x = 138,272.97

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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.