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Finding the Fourth Proportional to 214,129.58, 321,169.50 and 56,370.33

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Solution

The fourth proportional to 214,129.58, 321,169.50 and 56,370.33 is: 84,548.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,129.58 : 321,169.50 = 56,370.33 : x
  2. Step 2: Convert to fraction form
    214,129.58/321,169.50 = 56,370.33/x
  3. Step 3: Cross multiply
    214,129.58x = 321,169.50 × 56,370.33
  4. Step 4: Simplify right side
    214,129.58x = 18,104,430,700.94
  5. Step 5: Solve for x
    x = 18,104,430,700.94/214,129.58
  6. Step 6: Final answer
    x = 84,548.95

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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.