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Finding the Fourth Proportional to 270,198.50, 405,305.98 and 92,703.02

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Solution

The fourth proportional to 270,198.50, 405,305.98 and 92,703.02 is: 139,057.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,198.50 : 405,305.98 = 92,703.02 : x
  2. Step 2: Convert to fraction form
    270,198.50/405,305.98 = 92,703.02/x
  3. Step 3: Cross multiply
    270,198.50x = 405,305.98 × 92,703.02
  4. Step 4: Simplify right side
    270,198.50x = 37,573,088,370.06
  5. Step 5: Solve for x
    x = 37,573,088,370.06/270,198.50
  6. Step 6: Final answer
    x = 139,057.35

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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.