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Finding the Fourth Proportional to 275,662.06, 380,401.85 and 160,947.07

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Solution

The fourth proportional to 275,662.06, 380,401.85 and 160,947.07 is: 222,100.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,662.06 : 380,401.85 = 160,947.07 : x
  2. Step 2: Convert to fraction form
    275,662.06/380,401.85 = 160,947.07/x
  3. Step 3: Cross multiply
    275,662.06x = 380,401.85 × 160,947.07
  4. Step 4: Simplify right side
    275,662.06x = 61,224,562,631.44
  5. Step 5: Solve for x
    x = 61,224,562,631.44/275,662.06
  6. Step 6: Final answer
    x = 222,100.07

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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.