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Finding the Fourth Proportional to 381,085.56, 571,628.54 and 96,797.43

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Solution

The fourth proportional to 381,085.56, 571,628.54 and 96,797.43 is: 145,196.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,085.56 : 571,628.54 = 96,797.43 : x
  2. Step 2: Convert to fraction form
    381,085.56/571,628.54 = 96,797.43/x
  3. Step 3: Cross multiply
    381,085.56x = 571,628.54 × 96,797.43
  4. Step 4: Simplify right side
    381,085.56x = 55,332,173,828.65
  5. Step 5: Solve for x
    x = 55,332,173,828.65/381,085.56
  6. Step 6: Final answer
    x = 145,196.20

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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.