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Finding the Fourth Proportional to 180,512.87, 270,794.42 and 75,307.64

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Solution

The fourth proportional to 180,512.87, 270,794.42 and 75,307.64 is: 112,971.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,512.87 : 270,794.42 = 75,307.64 : x
  2. Step 2: Convert to fraction form
    180,512.87/270,794.42 = 75,307.64/x
  3. Step 3: Cross multiply
    180,512.87x = 270,794.42 × 75,307.64
  4. Step 4: Simplify right side
    180,512.87x = 20,392,888,318.83
  5. Step 5: Solve for x
    x = 20,392,888,318.83/180,512.87
  6. Step 6: Final answer
    x = 112,971.94

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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.