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Finding the Fourth Proportional to 212,853.88, 319,065.24 and 138,021.50

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Solution

The fourth proportional to 212,853.88, 319,065.24 and 138,021.50 is: 206,892.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,853.88 : 319,065.24 = 138,021.50 : x
  2. Step 2: Convert to fraction form
    212,853.88/319,065.24 = 138,021.50/x
  3. Step 3: Cross multiply
    212,853.88x = 319,065.24 × 138,021.50
  4. Step 4: Simplify right side
    212,853.88x = 44,037,863,022.66
  5. Step 5: Solve for x
    x = 44,037,863,022.66/212,853.88
  6. Step 6: Final answer
    x = 206,892.46

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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.