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Finding the Fourth Proportional to 183,309.06, 252,982.80 and 106,824

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Solution

The fourth proportional to 183,309.06, 252,982.80 and 106,824 is: 147,426.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,309.06 : 252,982.80 = 106,824 : x
  2. Step 2: Convert to fraction form
    183,309.06/252,982.80 = 106,824/x
  3. Step 3: Cross multiply
    183,309.06x = 252,982.80 × 106,824
  4. Step 4: Simplify right side
    183,309.06x = 27,024,634,627.20
  5. Step 5: Solve for x
    x = 27,024,634,627.20/183,309.06
  6. Step 6: Final answer
    x = 147,426.62

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Why These Related Problems?

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