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Finding the Fourth Proportional to 248,472, 372,766.32 and 82,260

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Solution

The fourth proportional to 248,472, 372,766.32 and 82,260 is: 123,409.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,472 : 372,766.32 = 82,260 : x
  2. Step 2: Convert to fraction form
    248,472/372,766.32 = 82,260/x
  3. Step 3: Cross multiply
    248,472x = 372,766.32 × 82,260
  4. Step 4: Simplify right side
    248,472x = 30,663,757,483.20
  5. Step 5: Solve for x
    x = 30,663,757,483.20/248,472
  6. Step 6: Final answer
    x = 123,409.31

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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.