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Finding the Fourth Proportional to 189,236.75, 283,855.17 and 76,978.04

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Solution

The fourth proportional to 189,236.75, 283,855.17 and 76,978.04 is: 115,467.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,236.75 : 283,855.17 = 76,978.04 : x
  2. Step 2: Convert to fraction form
    189,236.75/283,855.17 = 76,978.04/x
  3. Step 3: Cross multiply
    189,236.75x = 283,855.17 × 76,978.04
  4. Step 4: Simplify right side
    189,236.75x = 21,850,614,630.47
  5. Step 5: Solve for x
    x = 21,850,614,630.47/189,236.75
  6. Step 6: Final answer
    x = 115,467.08

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1.5x scale

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.