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Finding the Fourth Proportional to 266,041, 367,137.06 and 146,809

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Solution

The fourth proportional to 266,041, 367,137.06 and 146,809 is: 202,596.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,041 : 367,137.06 = 146,809 : x
  2. Step 2: Convert to fraction form
    266,041/367,137.06 = 146,809/x
  3. Step 3: Cross multiply
    266,041x = 367,137.06 × 146,809
  4. Step 4: Simplify right side
    266,041x = 53,899,024,641.54
  5. Step 5: Solve for x
    x = 53,899,024,641.54/266,041
  6. Step 6: Final answer
    x = 202,596.68

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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.