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Finding the Fourth Proportional to 262,754.74, 362,494.20 and 194,008.96

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Solution

The fourth proportional to 262,754.74, 362,494.20 and 194,008.96 is: 267,653.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,754.74 : 362,494.20 = 194,008.96 : x
  2. Step 2: Convert to fraction form
    262,754.74/362,494.20 = 194,008.96/x
  3. Step 3: Cross multiply
    262,754.74x = 362,494.20 × 194,008.96
  4. Step 4: Simplify right side
    262,754.74x = 70,327,122,748.03
  5. Step 5: Solve for x
    x = 70,327,122,748.03/262,754.74
  6. Step 6: Final answer
    x = 267,653.11

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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.