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Finding the Fourth Proportional to 120,494.94, 180,751.05 and 36,248.46

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Solution

The fourth proportional to 120,494.94, 180,751.05 and 36,248.46 is: 54,375.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,494.94 : 180,751.05 = 36,248.46 : x
  2. Step 2: Convert to fraction form
    120,494.94/180,751.05 = 36,248.46/x
  3. Step 3: Cross multiply
    120,494.94x = 180,751.05 × 36,248.46
  4. Step 4: Simplify right side
    120,494.94x = 6,551,947,205.88
  5. Step 5: Solve for x
    x = 6,551,947,205.88/120,494.94
  6. Step 6: Final answer
    x = 54,375.29

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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.