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Finding the Fourth Proportional to 264,471.37, 364,969.14 and 143,611.60

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Solution

The fourth proportional to 264,471.37, 364,969.14 and 143,611.60 is: 198,183.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,471.37 : 364,969.14 = 143,611.60 : x
  2. Step 2: Convert to fraction form
    264,471.37/364,969.14 = 143,611.60/x
  3. Step 3: Cross multiply
    264,471.37x = 364,969.14 × 143,611.60
  4. Step 4: Simplify right side
    264,471.37x = 52,413,802,146.02
  5. Step 5: Solve for x
    x = 52,413,802,146.02/264,471.37
  6. Step 6: Final answer
    x = 198,183.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.