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Finding the Fourth Proportional to 214,031.69, 321,050.68 and 101,723.37

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Solution

The fourth proportional to 214,031.69, 321,050.68 and 101,723.37 is: 152,586.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,031.69 : 321,050.68 = 101,723.37 : x
  2. Step 2: Convert to fraction form
    214,031.69/321,050.68 = 101,723.37/x
  3. Step 3: Cross multiply
    214,031.69x = 321,050.68 × 101,723.37
  4. Step 4: Simplify right side
    214,031.69x = 32,658,355,652.14
  5. Step 5: Solve for x
    x = 32,658,355,652.14/214,031.69
  6. Step 6: Final answer
    x = 152,586.54

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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.