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Finding the Fourth Proportional to 269,709.61, 404,459.24 and 101,138.08

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Solution

The fourth proportional to 269,709.61, 404,459.24 and 101,138.08 is: 151,667.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,709.61 : 404,459.24 = 101,138.08 : x
  2. Step 2: Convert to fraction form
    269,709.61/404,459.24 = 101,138.08/x
  3. Step 3: Cross multiply
    269,709.61x = 404,459.24 × 101,138.08
  4. Step 4: Simplify right side
    269,709.61x = 40,906,230,971.86
  5. Step 5: Solve for x
    x = 40,906,230,971.86/269,709.61
  6. Step 6: Final answer
    x = 151,667.68

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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.