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Finding the Fourth Proportional to 248,277.64, 372,474.70 and 82,065.48

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Solution

The fourth proportional to 248,277.64, 372,474.70 and 82,065.48 is: 123,117.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,277.64 : 372,474.70 = 82,065.48 : x
  2. Step 2: Convert to fraction form
    248,277.64/372,474.70 = 82,065.48/x
  3. Step 3: Cross multiply
    248,277.64x = 372,474.70 × 82,065.48
  4. Step 4: Simplify right side
    248,277.64x = 30,567,315,043.36
  5. Step 5: Solve for x
    x = 30,567,315,043.36/248,277.64
  6. Step 6: Final answer
    x = 123,117.47

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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.