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Finding the Fourth Proportional to 264,671.37, 365,205.38 and 157,238.64

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Solution

The fourth proportional to 264,671.37, 365,205.38 and 157,238.64 is: 216,964.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,671.37 : 365,205.38 = 157,238.64 : x
  2. Step 2: Convert to fraction form
    264,671.37/365,205.38 = 157,238.64/x
  3. Step 3: Cross multiply
    264,671.37x = 365,205.38 × 157,238.64
  4. Step 4: Simplify right side
    264,671.37x = 57,424,396,485.69
  5. Step 5: Solve for x
    x = 57,424,396,485.69/264,671.37
  6. Step 6: Final answer
    x = 216,964.90

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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.