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Finding the Fourth Proportional to 214,031.56, 321,050.49 and 101,723.24

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Solution

The fourth proportional to 214,031.56, 321,050.49 and 101,723.24 is: 152,586.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,031.56 : 321,050.49 = 101,723.24 : x
  2. Step 2: Convert to fraction form
    214,031.56/321,050.49 = 101,723.24/x
  3. Step 3: Cross multiply
    214,031.56x = 321,050.49 × 101,723.24
  4. Step 4: Simplify right side
    214,031.56x = 32,658,296,046.39
  5. Step 5: Solve for x
    x = 32,658,296,046.39/214,031.56
  6. Step 6: Final answer
    x = 152,586.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.