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Finding the Fourth Proportional to 141,786.40, 212,417.20 and 82,650.40

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Solution

The fourth proportional to 141,786.40, 212,417.20 and 82,650.40 is: 123,822.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,786.40 : 212,417.20 = 82,650.40 : x
  2. Step 2: Convert to fraction form
    141,786.40/212,417.20 = 82,650.40/x
  3. Step 3: Cross multiply
    141,786.40x = 212,417.20 × 82,650.40
  4. Step 4: Simplify right side
    141,786.40x = 17,556,366,546.88
  5. Step 5: Solve for x
    x = 17,556,366,546.88/141,786.40
  6. Step 6: Final answer
    x = 123,822.64

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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.