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Finding the Fourth Proportional to 182,144.75, 273,248.73 and 55,782

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Solution

The fourth proportional to 182,144.75, 273,248.73 and 55,782 is: 83,682.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,144.75 : 273,248.73 = 55,782 : x
  2. Step 2: Convert to fraction form
    182,144.75/273,248.73 = 55,782/x
  3. Step 3: Cross multiply
    182,144.75x = 273,248.73 × 55,782
  4. Step 4: Simplify right side
    182,144.75x = 15,242,360,656.86
  5. Step 5: Solve for x
    x = 15,242,360,656.86/182,144.75
  6. Step 6: Final answer
    x = 83,682.68

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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.