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Finding the Fourth Proportional to 264,120, 364,486.20 and 150,942.48

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Solution

The fourth proportional to 264,120, 364,486.20 and 150,942.48 is: 208,300.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,120 : 364,486.20 = 150,942.48 : x
  2. Step 2: Convert to fraction form
    264,120/364,486.20 = 150,942.48/x
  3. Step 3: Cross multiply
    264,120x = 364,486.20 × 150,942.48
  4. Step 4: Simplify right side
    264,120x = 55,016,450,953.78
  5. Step 5: Solve for x
    x = 55,016,450,953.78/264,120
  6. Step 6: Final answer
    x = 208,300.97

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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.