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Finding the Fourth Proportional to 141,694.56, 212,254.44 and 65,686.20

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Solution

The fourth proportional to 141,694.56, 212,254.44 and 65,686.20 is: 98,396.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,694.56 : 212,254.44 = 65,686.20 : x
  2. Step 2: Convert to fraction form
    141,694.56/212,254.44 = 65,686.20/x
  3. Step 3: Cross multiply
    141,694.56x = 212,254.44 × 65,686.20
  4. Step 4: Simplify right side
    141,694.56x = 13,942,187,596.73
  5. Step 5: Solve for x
    x = 13,942,187,596.73/141,694.56
  6. Step 6: Final answer
    x = 98,396.07

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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.