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Finding the Fourth Proportional to 362,082.48, 543,053.40 and 182,119.92

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Solution

The fourth proportional to 362,082.48, 543,053.40 and 182,119.92 is: 273,144.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,082.48 : 543,053.40 = 182,119.92 : x
  2. Step 2: Convert to fraction form
    362,082.48/543,053.40 = 182,119.92/x
  3. Step 3: Cross multiply
    362,082.48x = 543,053.40 × 182,119.92
  4. Step 4: Simplify right side
    362,082.48x = 98,900,841,763.73
  5. Step 5: Solve for x
    x = 98,900,841,763.73/362,082.48
  6. Step 6: Final answer
    x = 273,144.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.