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Finding the Fourth Proportional to 266,409.66, 367,650.63 and 145,558.44

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Solution

The fourth proportional to 266,409.66, 367,650.63 and 145,558.44 is: 200,873.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,409.66 : 367,650.63 = 145,558.44 : x
  2. Step 2: Convert to fraction form
    266,409.66/367,650.63 = 145,558.44/x
  3. Step 3: Cross multiply
    266,409.66x = 367,650.63 × 145,558.44
  4. Step 4: Simplify right side
    266,409.66x = 53,514,650,243.28
  5. Step 5: Solve for x
    x = 53,514,650,243.28/266,409.66
  6. Step 6: Final answer
    x = 200,873.53

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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.