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Finding the Fourth Proportional to 248,470, 372,763.32 and 82,258

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Solution

The fourth proportional to 248,470, 372,763.32 and 82,258 is: 123,406.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,470 : 372,763.32 = 82,258 : x
  2. Step 2: Convert to fraction form
    248,470/372,763.32 = 82,258/x
  3. Step 3: Cross multiply
    248,470x = 372,763.32 × 82,258
  4. Step 4: Simplify right side
    248,470x = 30,662,765,176.56
  5. Step 5: Solve for x
    x = 30,662,765,176.56/248,470
  6. Step 6: Final answer
    x = 123,406.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.