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Finding the Fourth Proportional to 263,606.84, 363,777.38 and 142,748.12

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Solution

The fourth proportional to 263,606.84, 363,777.38 and 142,748.12 is: 196,992.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,606.84 : 363,777.38 = 142,748.12 : x
  2. Step 2: Convert to fraction form
    263,606.84/363,777.38 = 142,748.12/x
  3. Step 3: Cross multiply
    263,606.84x = 363,777.38 × 142,748.12
  4. Step 4: Simplify right side
    263,606.84x = 51,928,537,824.53
  5. Step 5: Solve for x
    x = 51,928,537,824.53/263,606.84
  6. Step 6: Final answer
    x = 196,992.38

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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.