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Finding the Fourth Proportional to 266,074.14, 367,190.04 and 145,223.16

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Solution

The fourth proportional to 266,074.14, 367,190.04 and 145,223.16 is: 200,412.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,074.14 : 367,190.04 = 145,223.16 : x
  2. Step 2: Convert to fraction form
    266,074.14/367,190.04 = 145,223.16/x
  3. Step 3: Cross multiply
    266,074.14x = 367,190.04 × 145,223.16
  4. Step 4: Simplify right side
    266,074.14x = 53,324,497,929.33
  5. Step 5: Solve for x
    x = 53,324,497,929.33/266,074.14
  6. Step 6: Final answer
    x = 200,412.18

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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.