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Finding the Fourth Proportional to 214,448.79, 321,675.92 and 56,675.88

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Solution

The fourth proportional to 214,448.79, 321,675.92 and 56,675.88 is: 85,014.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,448.79 : 321,675.92 = 56,675.88 : x
  2. Step 2: Convert to fraction form
    214,448.79/321,675.92 = 56,675.88/x
  3. Step 3: Cross multiply
    214,448.79x = 321,675.92 × 56,675.88
  4. Step 4: Simplify right side
    214,448.79x = 18,231,265,840.81
  5. Step 5: Solve for x
    x = 18,231,265,840.81/214,448.79
  6. Step 6: Final answer
    x = 85,014.54

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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.