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Finding the Fourth Proportional to 280,131.57, 386,577 and 159,270.26

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Solution

The fourth proportional to 280,131.57, 386,577 and 159,270.26 is: 219,790.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,131.57 : 386,577 = 159,270.26 : x
  2. Step 2: Convert to fraction form
    280,131.57/386,577 = 159,270.26/x
  3. Step 3: Cross multiply
    280,131.57x = 386,577 × 159,270.26
  4. Step 4: Simplify right side
    280,131.57x = 61,570,217,367.14
  5. Step 5: Solve for x
    x = 61,570,217,367.14/280,131.57
  6. Step 6: Final answer
    x = 219,790.36

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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.