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Finding the Fourth Proportional to 266,410.17, 367,651.32 and 145,558.94

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Solution

The fourth proportional to 266,410.17, 367,651.32 and 145,558.94 is: 200,874.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,410.17 : 367,651.32 = 145,558.94 : x
  2. Step 2: Convert to fraction form
    266,410.17/367,651.32 = 145,558.94/x
  3. Step 3: Cross multiply
    266,410.17x = 367,651.32 × 145,558.94
  4. Step 4: Simplify right side
    266,410.17x = 53,514,933,862.75
  5. Step 5: Solve for x
    x = 53,514,933,862.75/266,410.17
  6. Step 6: Final answer
    x = 200,874.22

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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.