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Finding the Fourth Proportional to 180,290, 270,377.48 and 61,932.80

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Solution

The fourth proportional to 180,290, 270,377.48 and 61,932.80 is: 92,879.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,290 : 270,377.48 = 61,932.80 : x
  2. Step 2: Convert to fraction form
    180,290/270,377.48 = 61,932.80/x
  3. Step 3: Cross multiply
    180,290x = 270,377.48 × 61,932.80
  4. Step 4: Simplify right side
    180,290x = 16,745,234,393.34
  5. Step 5: Solve for x
    x = 16,745,234,393.34/180,290
  6. Step 6: Final answer
    x = 92,879.44

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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.