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Finding the Fourth Proportional to 266,203.53, 367,361.64 and 145,345.86

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Solution

The fourth proportional to 266,203.53, 367,361.64 and 145,345.86 is: 200,577.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,203.53 : 367,361.64 = 145,345.86 : x
  2. Step 2: Convert to fraction form
    266,203.53/367,361.64 = 145,345.86/x
  3. Step 3: Cross multiply
    266,203.53x = 367,361.64 × 145,345.86
  4. Step 4: Simplify right side
    266,203.53x = 53,394,493,496.81
  5. Step 5: Solve for x
    x = 53,394,493,496.81/266,203.53
  6. Step 6: Final answer
    x = 200,577.71

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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.