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Finding the Fourth Proportional to 273,164.62, 409,807.11 and 83,626.42

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Solution

The fourth proportional to 273,164.62, 409,807.11 and 83,626.42 is: 125,458.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,164.62 : 409,807.11 = 83,626.42 : x
  2. Step 2: Convert to fraction form
    273,164.62/409,807.11 = 83,626.42/x
  3. Step 3: Cross multiply
    273,164.62x = 409,807.11 × 83,626.42
  4. Step 4: Simplify right side
    273,164.62x = 34,270,701,499.85
  5. Step 5: Solve for x
    x = 34,270,701,499.85/273,164.62
  6. Step 6: Final answer
    x = 125,458.05

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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.