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Finding the Fourth Proportional to 262,062.82, 393,289.50 and 194,749.93

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Solution

The fourth proportional to 262,062.82, 393,289.50 and 194,749.93 is: 292,270.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,062.82 : 393,289.50 = 194,749.93 : x
  2. Step 2: Convert to fraction form
    262,062.82/393,289.50 = 194,749.93/x
  3. Step 3: Cross multiply
    262,062.82x = 393,289.50 × 194,749.93
  4. Step 4: Simplify right side
    262,062.82x = 76,593,100,628.29
  5. Step 5: Solve for x
    x = 76,593,100,628.29/262,062.82
  6. Step 6: Final answer
    x = 292,270.01

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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.