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Finding the Fourth Proportional to 165,054.50, 227,777.97 and 89,603

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Solution

The fourth proportional to 165,054.50, 227,777.97 and 89,603 is: 123,653.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,054.50 : 227,777.97 = 89,603 : x
  2. Step 2: Convert to fraction form
    165,054.50/227,777.97 = 89,603/x
  3. Step 3: Cross multiply
    165,054.50x = 227,777.97 × 89,603
  4. Step 4: Simplify right side
    165,054.50x = 20,409,589,445.91
  5. Step 5: Solve for x
    x = 20,409,589,445.91/165,054.50
  6. Step 6: Final answer
    x = 123,653.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.