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Finding the Fourth Proportional to 189,847.02, 285,287.84 and 101,163.90

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Solution

The fourth proportional to 189,847.02, 285,287.84 and 101,163.90 is: 152,021.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,847.02 : 285,287.84 = 101,163.90 : x
  2. Step 2: Convert to fraction form
    189,847.02/285,287.84 = 101,163.90/x
  3. Step 3: Cross multiply
    189,847.02x = 285,287.84 × 101,163.90
  4. Step 4: Simplify right side
    189,847.02x = 28,860,830,516.98
  5. Step 5: Solve for x
    x = 28,860,830,516.98/189,847.02
  6. Step 6: Final answer
    x = 152,021.51

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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.