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Finding the Fourth Proportional to 189,193.61, 283,659.19 and 100,509.39

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Solution

The fourth proportional to 189,193.61, 283,659.19 and 100,509.39 is: 150,694.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,193.61 : 283,659.19 = 100,509.39 : x
  2. Step 2: Convert to fraction form
    189,193.61/283,659.19 = 100,509.39/x
  3. Step 3: Cross multiply
    189,193.61x = 283,659.19 × 100,509.39
  4. Step 4: Simplify right side
    189,193.61x = 28,510,412,186.20
  5. Step 5: Solve for x
    x = 28,510,412,186.20/189,193.61
  6. Step 6: Final answer
    x = 150,694.37

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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.