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Finding the Fourth Proportional to 213,883.80, 320,436.90 and 174,226.20

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Solution

The fourth proportional to 213,883.80, 320,436.90 and 174,226.20 is: 261,022.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,883.80 : 320,436.90 = 174,226.20 : x
  2. Step 2: Convert to fraction form
    213,883.80/320,436.90 = 174,226.20/x
  3. Step 3: Cross multiply
    213,883.80x = 320,436.90 × 174,226.20
  4. Step 4: Simplify right side
    213,883.80x = 55,828,503,426.78
  5. Step 5: Solve for x
    x = 55,828,503,426.78/213,883.80
  6. Step 6: Final answer
    x = 261,022.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.