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Finding the Fourth Proportional to 262,786.76, 362,538.36 and 194,040.96

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Solution

The fourth proportional to 262,786.76, 362,538.36 and 194,040.96 is: 267,697.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,786.76 : 362,538.36 = 194,040.96 : x
  2. Step 2: Convert to fraction form
    262,786.76/362,538.36 = 194,040.96/x
  3. Step 3: Cross multiply
    262,786.76x = 362,538.36 × 194,040.96
  4. Step 4: Simplify right side
    262,786.76x = 70,347,291,411.23
  5. Step 5: Solve for x
    x = 70,347,291,411.23/262,786.76
  6. Step 6: Final answer
    x = 267,697.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.