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Finding the Fourth Proportional to 213,564.20, 320,346.30 and 172,092.20

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Solution

The fourth proportional to 213,564.20, 320,346.30 and 172,092.20 is: 258,138.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,564.20 : 320,346.30 = 172,092.20 : x
  2. Step 2: Convert to fraction form
    213,564.20/320,346.30 = 172,092.20/x
  3. Step 3: Cross multiply
    213,564.20x = 320,346.30 × 172,092.20
  4. Step 4: Simplify right side
    213,564.20x = 55,129,099,528.86
  5. Step 5: Solve for x
    x = 55,129,099,528.86/213,564.20
  6. Step 6: Final answer
    x = 258,138.30

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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.