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Finding the Fourth Proportional to 182,122.28, 273,183.42 and 57,473

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Solution

The fourth proportional to 182,122.28, 273,183.42 and 57,473 is: 86,209.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,122.28 : 273,183.42 = 57,473 : x
  2. Step 2: Convert to fraction form
    182,122.28/273,183.42 = 57,473/x
  3. Step 3: Cross multiply
    182,122.28x = 273,183.42 × 57,473
  4. Step 4: Simplify right side
    182,122.28x = 15,700,670,697.66
  5. Step 5: Solve for x
    x = 15,700,670,697.66/182,122.28
  6. Step 6: Final answer
    x = 86,209.50

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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.