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Finding the Fourth Proportional to 180,197.64, 270,334.62 and 53,847.72

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Solution

The fourth proportional to 180,197.64, 270,334.62 and 53,847.72 is: 80,782.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,197.64 : 270,334.62 = 53,847.72 : x
  2. Step 2: Convert to fraction form
    180,197.64/270,334.62 = 53,847.72/x
  3. Step 3: Cross multiply
    180,197.64x = 270,334.62 × 53,847.72
  4. Step 4: Simplify right side
    180,197.64x = 14,556,902,924.07
  5. Step 5: Solve for x
    x = 14,556,902,924.07/180,197.64
  6. Step 6: Final answer
    x = 80,782.98

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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.