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Finding the Fourth Proportional to 183,012, 252,556.50 and 102,439.50

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Solution

The fourth proportional to 183,012, 252,556.50 and 102,439.50 is: 141,366.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,012 : 252,556.50 = 102,439.50 : x
  2. Step 2: Convert to fraction form
    183,012/252,556.50 = 102,439.50/x
  3. Step 3: Cross multiply
    183,012x = 252,556.50 × 102,439.50
  4. Step 4: Simplify right side
    183,012x = 25,871,761,581.75
  5. Step 5: Solve for x
    x = 25,871,761,581.75/183,012
  6. Step 6: Final answer
    x = 141,366.48

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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.