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Finding the Fourth Proportional to 264,078, 364,428.24 and 150,900.48

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Solution

The fourth proportional to 264,078, 364,428.24 and 150,900.48 is: 208,243.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,078 : 364,428.24 = 150,900.48 : x
  2. Step 2: Convert to fraction form
    264,078/364,428.24 = 150,900.48/x
  3. Step 3: Cross multiply
    264,078x = 364,428.24 × 150,900.48
  4. Step 4: Simplify right side
    264,078x = 54,992,396,341.56
  5. Step 5: Solve for x
    x = 54,992,396,341.56/264,078
  6. Step 6: Final answer
    x = 208,243.01

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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.