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Finding the Fourth Proportional to 120,504.87, 180,782.59 and 36,271.19

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Solution

The fourth proportional to 120,504.87, 180,782.59 and 36,271.19 is: 54,414.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,504.87 : 180,782.59 = 36,271.19 : x
  2. Step 2: Convert to fraction form
    120,504.87/180,782.59 = 36,271.19/x
  3. Step 3: Cross multiply
    120,504.87x = 180,782.59 × 36,271.19
  4. Step 4: Simplify right side
    120,504.87x = 6,557,200,031.86
  5. Step 5: Solve for x
    x = 6,557,200,031.86/120,504.87
  6. Step 6: Final answer
    x = 54,414.40

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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.