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Finding the Fourth Proportional to 264,096, 364,453.08 and 150,918.48

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Solution

The fourth proportional to 264,096, 364,453.08 and 150,918.48 is: 208,267.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,096 : 364,453.08 = 150,918.48 : x
  2. Step 2: Convert to fraction form
    264,096/364,453.08 = 150,918.48/x
  3. Step 3: Cross multiply
    264,096x = 364,453.08 × 150,918.48
  4. Step 4: Simplify right side
    264,096x = 55,002,704,864.92
  5. Step 5: Solve for x
    x = 55,002,704,864.92/264,096
  6. Step 6: Final answer
    x = 208,267.85

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