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Finding the Fourth Proportional to 275,538.72, 380,198.16 and 162,346.08

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Solution

The fourth proportional to 275,538.72, 380,198.16 and 162,346.08 is: 224,010.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,538.72 : 380,198.16 = 162,346.08 : x
  2. Step 2: Convert to fraction form
    275,538.72/380,198.16 = 162,346.08/x
  3. Step 3: Cross multiply
    275,538.72x = 380,198.16 × 162,346.08
  4. Step 4: Simplify right side
    275,538.72x = 61,723,680,899.21
  5. Step 5: Solve for x
    x = 61,723,680,899.21/275,538.72
  6. Step 6: Final answer
    x = 224,010.92

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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.