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Finding the Fourth Proportional to 214,467.60, 321,747.60 and 72,327.12

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Solution

The fourth proportional to 214,467.60, 321,747.60 and 72,327.12 is: 108,506.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,467.60 : 321,747.60 = 72,327.12 : x
  2. Step 2: Convert to fraction form
    214,467.60/321,747.60 = 72,327.12/x
  3. Step 3: Cross multiply
    214,467.60x = 321,747.60 × 72,327.12
  4. Step 4: Simplify right side
    214,467.60x = 23,271,077,274.91
  5. Step 5: Solve for x
    x = 23,271,077,274.91/214,467.60
  6. Step 6: Final answer
    x = 108,506.26

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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.