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Finding the Fourth Proportional to 214,176.60, 321,269.99 and 72,023.72

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Solution

The fourth proportional to 214,176.60, 321,269.99 and 72,023.72 is: 108,037.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,176.60 : 321,269.99 = 72,023.72 : x
  2. Step 2: Convert to fraction form
    214,176.60/321,269.99 = 72,023.72/x
  3. Step 3: Cross multiply
    214,176.60x = 321,269.99 × 72,023.72
  4. Step 4: Simplify right side
    214,176.60x = 23,139,057,837.69
  5. Step 5: Solve for x
    x = 23,139,057,837.69/214,176.60
  6. Step 6: Final answer
    x = 108,037.28

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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.