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Finding the Fourth Proportional to 205,227.40, 307,257.90 and 184,232.20

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Solution

The fourth proportional to 205,227.40, 307,257.90 and 184,232.20 is: 275,824.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,227.40 : 307,257.90 = 184,232.20 : x
  2. Step 2: Convert to fraction form
    205,227.40/307,257.90 = 184,232.20/x
  3. Step 3: Cross multiply
    205,227.40x = 307,257.90 × 184,232.20
  4. Step 4: Simplify right side
    205,227.40x = 56,606,798,884.38
  5. Step 5: Solve for x
    x = 56,606,798,884.38/205,227.40
  6. Step 6: Final answer
    x = 275,824.76

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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.