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Finding the Fourth Proportional to 182,338, 273,505.56 and 55,978

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Solution

The fourth proportional to 182,338, 273,505.56 and 55,978 is: 83,966.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,338 : 273,505.56 = 55,978 : x
  2. Step 2: Convert to fraction form
    182,338/273,505.56 = 55,978/x
  3. Step 3: Cross multiply
    182,338x = 273,505.56 × 55,978
  4. Step 4: Simplify right side
    182,338x = 15,310,294,237.68
  5. Step 5: Solve for x
    x = 15,310,294,237.68/182,338
  6. Step 6: Final answer
    x = 83,966.56

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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.