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Finding the Fourth Proportional to 205,509.30, 308,270.28 and 55,749

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Solution

The fourth proportional to 205,509.30, 308,270.28 and 55,749 is: 83,625.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,509.30 : 308,270.28 = 55,749 : x
  2. Step 2: Convert to fraction form
    205,509.30/308,270.28 = 55,749/x
  3. Step 3: Cross multiply
    205,509.30x = 308,270.28 × 55,749
  4. Step 4: Simplify right side
    205,509.30x = 17,185,759,839.72
  5. Step 5: Solve for x
    x = 17,185,759,839.72/205,509.30
  6. Step 6: Final answer
    x = 83,625.22

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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.