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Finding the Fourth Proportional to 213,076.60, 319,323.30 and 141,796.60

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Solution

The fourth proportional to 213,076.60, 319,323.30 and 141,796.60 is: 212,500.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,076.60 : 319,323.30 = 141,796.60 : x
  2. Step 2: Convert to fraction form
    213,076.60/319,323.30 = 141,796.60/x
  3. Step 3: Cross multiply
    213,076.60x = 319,323.30 × 141,796.60
  4. Step 4: Simplify right side
    213,076.60x = 45,278,958,240.78
  5. Step 5: Solve for x
    x = 45,278,958,240.78/213,076.60
  6. Step 6: Final answer
    x = 212,500.85

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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.