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Finding the Fourth Proportional to 200,906.75, 302,563.22 and 182,970.65

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Solution

The fourth proportional to 200,906.75, 302,563.22 and 182,970.65 is: 275,551.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,906.75 : 302,563.22 = 182,970.65 : x
  2. Step 2: Convert to fraction form
    200,906.75/302,563.22 = 182,970.65/x
  3. Step 3: Cross multiply
    200,906.75x = 302,563.22 × 182,970.65
  4. Step 4: Simplify right side
    200,906.75x = 55,360,189,029.49
  5. Step 5: Solve for x
    x = 55,360,189,029.49/200,906.75
  6. Step 6: Final answer
    x = 275,551.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.