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Finding the Fourth Proportional to 264,097, 364,454.46 and 150,919.48

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Solution

The fourth proportional to 264,097, 364,454.46 and 150,919.48 is: 208,269.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,097 : 364,454.46 = 150,919.48 : x
  2. Step 2: Convert to fraction form
    264,097/364,454.46 = 150,919.48/x
  3. Step 3: Cross multiply
    264,097x = 364,454.46 × 150,919.48
  4. Step 4: Simplify right side
    264,097x = 55,003,277,586.88
  5. Step 5: Solve for x
    x = 55,003,277,586.88/264,097
  6. Step 6: Final answer
    x = 208,269.23

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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.