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Finding the Fourth Proportional to 327,102.99, 490,658.13 and 102,454.35

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Solution

The fourth proportional to 327,102.99, 490,658.13 and 102,454.35 is: 153,682.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,102.99 : 490,658.13 = 102,454.35 : x
  2. Step 2: Convert to fraction form
    327,102.99/490,658.13 = 102,454.35/x
  3. Step 3: Cross multiply
    327,102.99x = 490,658.13 × 102,454.35
  4. Step 4: Simplify right side
    327,102.99x = 50,270,059,781.37
  5. Step 5: Solve for x
    x = 50,270,059,781.37/327,102.99
  6. Step 6: Final answer
    x = 153,682.67

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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.