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Finding the Fourth Proportional to 205,092.30, 307,638.45 and 163,620.30

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Solution

The fourth proportional to 205,092.30, 307,638.45 and 163,620.30 is: 245,430.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,092.30 : 307,638.45 = 163,620.30 : x
  2. Step 2: Convert to fraction form
    205,092.30/307,638.45 = 163,620.30/x
  3. Step 3: Cross multiply
    205,092.30x = 307,638.45 × 163,620.30
  4. Step 4: Simplify right side
    205,092.30x = 50,335,895,480.54
  5. Step 5: Solve for x
    x = 50,335,895,480.54/205,092.30
  6. Step 6: Final answer
    x = 245,430.45

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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.