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Finding the Fourth Proportional to 205,243.20, 307,208.70 and 146,194.20

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Solution

The fourth proportional to 205,243.20, 307,208.70 and 146,194.20 is: 218,823.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,243.20 : 307,208.70 = 146,194.20 : x
  2. Step 2: Convert to fraction form
    205,243.20/307,208.70 = 146,194.20/x
  3. Step 3: Cross multiply
    205,243.20x = 307,208.70 × 146,194.20
  4. Step 4: Simplify right side
    205,243.20x = 44,912,130,129.54
  5. Step 5: Solve for x
    x = 44,912,130,129.54/205,243.20
  6. Step 6: Final answer
    x = 218,823.96

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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.