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Finding the Fourth Proportional to 142,441.68, 213,694.11 and 53,695.96

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Solution

The fourth proportional to 142,441.68, 213,694.11 and 53,695.96 is: 80,555.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,441.68 : 213,694.11 = 53,695.96 : x
  2. Step 2: Convert to fraction form
    142,441.68/213,694.11 = 53,695.96/x
  3. Step 3: Cross multiply
    142,441.68x = 213,694.11 × 53,695.96
  4. Step 4: Simplify right side
    142,441.68x = 11,474,509,848.56
  5. Step 5: Solve for x
    x = 11,474,509,848.56/142,441.68
  6. Step 6: Final answer
    x = 80,555.84

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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.