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Finding the Fourth Proportional to 264,786.69, 365,404.16 and 150,087.02

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Solution

The fourth proportional to 264,786.69, 365,404.16 and 150,087.02 is: 207,119.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,786.69 : 365,404.16 = 150,087.02 : x
  2. Step 2: Convert to fraction form
    264,786.69/365,404.16 = 150,087.02/x
  3. Step 3: Cross multiply
    264,786.69x = 365,404.16 × 150,087.02
  4. Step 4: Simplify right side
    264,786.69x = 54,842,420,719.57
  5. Step 5: Solve for x
    x = 54,842,420,719.57/264,786.69
  6. Step 6: Final answer
    x = 207,119.25

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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.