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Finding the Fourth Proportional to 180,291, 270,378.98 and 61,933.80

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Solution

The fourth proportional to 180,291, 270,378.98 and 61,933.80 is: 92,880.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,291 : 270,378.98 = 61,933.80 : x
  2. Step 2: Convert to fraction form
    180,291/270,378.98 = 61,933.80/x
  3. Step 3: Cross multiply
    180,291x = 270,378.98 × 61,933.80
  4. Step 4: Simplify right side
    180,291x = 16,745,597,671.52
  5. Step 5: Solve for x
    x = 16,745,597,671.52/180,291
  6. Step 6: Final answer
    x = 92,880.94

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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.