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Finding the Fourth Proportional to 212,882.37, 319,323.57 and 86,591.31

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Solution

The fourth proportional to 212,882.37, 319,323.57 and 86,591.31 is: 129,886.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,882.37 : 319,323.57 = 86,591.31 : x
  2. Step 2: Convert to fraction form
    212,882.37/319,323.57 = 86,591.31/x
  3. Step 3: Cross multiply
    212,882.37x = 319,323.57 × 86,591.31
  4. Step 4: Simplify right side
    212,882.37x = 27,650,646,240.18
  5. Step 5: Solve for x
    x = 27,650,646,240.18/212,882.37
  6. Step 6: Final answer
    x = 129,886.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.