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Finding the Fourth Proportional to 273,169.62, 409,814.62 and 83,631.42

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Solution

The fourth proportional to 273,169.62, 409,814.62 and 83,631.42 is: 125,465.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,169.62 : 409,814.62 = 83,631.42 : x
  2. Step 2: Convert to fraction form
    273,169.62/409,814.62 = 83,631.42/x
  3. Step 3: Cross multiply
    273,169.62x = 409,814.62 × 83,631.42
  4. Step 4: Simplify right side
    273,169.62x = 34,273,378,607.36
  5. Step 5: Solve for x
    x = 34,273,378,607.36/273,169.62
  6. Step 6: Final answer
    x = 125,465.56

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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.