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Finding the Fourth Proportional to 269,402.16, 404,103.24 and 119,607.24

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Solution

The fourth proportional to 269,402.16, 404,103.24 and 119,607.24 is: 179,410.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,402.16 : 404,103.24 = 119,607.24 : x
  2. Step 2: Convert to fraction form
    269,402.16/404,103.24 = 119,607.24/x
  3. Step 3: Cross multiply
    269,402.16x = 404,103.24 × 119,607.24
  4. Step 4: Simplify right side
    269,402.16x = 48,333,671,190.94
  5. Step 5: Solve for x
    x = 48,333,671,190.94/269,402.16
  6. Step 6: Final answer
    x = 179,410.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.