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Finding the Fourth Proportional to 275,749.41, 380,475.16 and 160,975.97

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Solution

The fourth proportional to 275,749.41, 380,475.16 and 160,975.97 is: 222,112.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,749.41 : 380,475.16 = 160,975.97 : x
  2. Step 2: Convert to fraction form
    275,749.41/380,475.16 = 160,975.97/x
  3. Step 3: Cross multiply
    275,749.41x = 380,475.16 × 160,975.97
  4. Step 4: Simplify right side
    275,749.41x = 61,247,357,941.91
  5. Step 5: Solve for x
    x = 61,247,357,941.91/275,749.41
  6. Step 6: Final answer
    x = 222,112.38

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Why These Related Problems?

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