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Finding the Fourth Proportional to 240,196.48, 360,208.32 and 82,384

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Solution

The fourth proportional to 240,196.48, 360,208.32 and 82,384 is: 123,546.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,196.48 : 360,208.32 = 82,384 : x
  2. Step 2: Convert to fraction form
    240,196.48/360,208.32 = 82,384/x
  3. Step 3: Cross multiply
    240,196.48x = 360,208.32 × 82,384
  4. Step 4: Simplify right side
    240,196.48x = 29,675,402,234.88
  5. Step 5: Solve for x
    x = 29,675,402,234.88/240,196.48
  6. Step 6: Final answer
    x = 123,546.37

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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.