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Finding the Fourth Proportional to 205,223.20, 307,251.60 and 181,895.20

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Solution

The fourth proportional to 205,223.20, 307,251.60 and 181,895.20 is: 272,325.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,223.20 : 307,251.60 = 181,895.20 : x
  2. Step 2: Convert to fraction form
    205,223.20/307,251.60 = 181,895.20/x
  3. Step 3: Cross multiply
    205,223.20x = 307,251.60 × 181,895.20
  4. Step 4: Simplify right side
    205,223.20x = 55,887,591,232.32
  5. Step 5: Solve for x
    x = 55,887,591,232.32/205,223.20
  6. Step 6: Final answer
    x = 272,325.89

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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.