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Finding the Fourth Proportional to 126,333.69, 189,286.42 and 76,308.68

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Solution

The fourth proportional to 126,333.69, 189,286.42 and 76,308.68 is: 114,333.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,333.69 : 189,286.42 = 76,308.68 : x
  2. Step 2: Convert to fraction form
    126,333.69/189,286.42 = 76,308.68/x
  3. Step 3: Cross multiply
    126,333.69x = 189,286.42 × 76,308.68
  4. Step 4: Simplify right side
    126,333.69x = 14,444,196,852.13
  5. Step 5: Solve for x
    x = 14,444,196,852.13/126,333.69
  6. Step 6: Final answer
    x = 114,333.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.