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Finding the Fourth Proportional to 212,406.31, 318,610.37 and 86,049.01

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Solution

The fourth proportional to 212,406.31, 318,610.37 and 86,049.01 is: 129,073.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,406.31 : 318,610.37 = 86,049.01 : x
  2. Step 2: Convert to fraction form
    212,406.31/318,610.37 = 86,049.01/x
  3. Step 3: Cross multiply
    212,406.31x = 318,610.37 × 86,049.01
  4. Step 4: Simplify right side
    212,406.31x = 27,416,106,914.23
  5. Step 5: Solve for x
    x = 27,416,106,914.23/212,406.31
  6. Step 6: Final answer
    x = 129,073.88

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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.