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Finding the Fourth Proportional to 252,243.46, 348,082.02 and 144,806.46

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Solution

The fourth proportional to 252,243.46, 348,082.02 and 144,806.46 is: 199,824.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,243.46 : 348,082.02 = 144,806.46 : x
  2. Step 2: Convert to fraction form
    252,243.46/348,082.02 = 144,806.46/x
  3. Step 3: Cross multiply
    252,243.46x = 348,082.02 × 144,806.46
  4. Step 4: Simplify right side
    252,243.46x = 50,404,525,105.85
  5. Step 5: Solve for x
    x = 50,404,525,105.85/252,243.46
  6. Step 6: Final answer
    x = 199,824.90

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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.