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Finding the Fourth Proportional to 273,463.10, 409,538.55 and 133,057.70

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Solution

The fourth proportional to 273,463.10, 409,538.55 and 133,057.70 is: 199,267.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,463.10 : 409,538.55 = 133,057.70 : x
  2. Step 2: Convert to fraction form
    273,463.10/409,538.55 = 133,057.70/x
  3. Step 3: Cross multiply
    273,463.10x = 409,538.55 × 133,057.70
  4. Step 4: Simplify right side
    273,463.10x = 54,492,257,524.34
  5. Step 5: Solve for x
    x = 54,492,257,524.34/273,463.10
  6. Step 6: Final answer
    x = 199,267.31

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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.