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Finding the Fourth Proportional to 275,749.59, 380,475.42 and 160,976.16

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Solution

The fourth proportional to 275,749.59, 380,475.42 and 160,976.16 is: 222,112.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,749.59 : 380,475.42 = 160,976.16 : x
  2. Step 2: Convert to fraction form
    275,749.59/380,475.42 = 160,976.16/x
  3. Step 3: Cross multiply
    275,749.59x = 380,475.42 × 160,976.16
  4. Step 4: Simplify right side
    275,749.59x = 61,247,472,085.99
  5. Step 5: Solve for x
    x = 61,247,472,085.99/275,749.59
  6. Step 6: Final answer
    x = 222,112.65

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1.5x scale

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.