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Finding the Fourth Proportional to 273,198.80, 409,775.16 and 154,496.72

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Solution

The fourth proportional to 273,198.80, 409,775.16 and 154,496.72 is: 231,732.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,198.80 : 409,775.16 = 154,496.72 : x
  2. Step 2: Convert to fraction form
    273,198.80/409,775.16 = 154,496.72/x
  3. Step 3: Cross multiply
    273,198.80x = 409,775.16 × 154,496.72
  4. Step 4: Simplify right side
    273,198.80x = 63,308,918,157.48
  5. Step 5: Solve for x
    x = 63,308,918,157.48/273,198.80
  6. Step 6: Final answer
    x = 231,732.05

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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.