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Finding the Fourth Proportional to 132,983.14, 199,308.12 and 66,441.82

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Solution

The fourth proportional to 132,983.14, 199,308.12 and 66,441.82 is: 99,579.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,983.14 : 199,308.12 = 66,441.82 : x
  2. Step 2: Convert to fraction form
    132,983.14/199,308.12 = 66,441.82/x
  3. Step 3: Cross multiply
    132,983.14x = 199,308.12 × 66,441.82
  4. Step 4: Simplify right side
    132,983.14x = 13,242,394,233.58
  5. Step 5: Solve for x
    x = 13,242,394,233.58/132,983.14
  6. Step 6: Final answer
    x = 99,579.50

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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.