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Finding the Fourth Proportional to 320,097.28, 480,169.28 and 109,733.44

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Solution

The fourth proportional to 320,097.28, 480,169.28 and 109,733.44 is: 164,608.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,097.28 : 480,169.28 = 109,733.44 : x
  2. Step 2: Convert to fraction form
    320,097.28/480,169.28 = 109,733.44/x
  3. Step 3: Cross multiply
    320,097.28x = 480,169.28 × 109,733.44
  4. Step 4: Simplify right side
    320,097.28x = 52,690,626,876.72
  5. Step 5: Solve for x
    x = 52,690,626,876.72/320,097.28
  6. Step 6: Final answer
    x = 164,608.17

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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.