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Finding the Fourth Proportional to 146,485, 202,125 and 92,028.70

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Solution

The fourth proportional to 146,485, 202,125 and 92,028.70 is: 126,984.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,485 : 202,125 = 92,028.70 : x
  2. Step 2: Convert to fraction form
    146,485/202,125 = 92,028.70/x
  3. Step 3: Cross multiply
    146,485x = 202,125 × 92,028.70
  4. Step 4: Simplify right side
    146,485x = 18,601,300,987.50
  5. Step 5: Solve for x
    x = 18,601,300,987.50/146,485
  6. Step 6: Final answer
    x = 126,984.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.