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Finding the Fourth Proportional to 188,063.96, 282,097.02 and 75,795.80

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Solution

The fourth proportional to 188,063.96, 282,097.02 and 75,795.80 is: 113,694.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,063.96 : 282,097.02 = 75,795.80 : x
  2. Step 2: Convert to fraction form
    188,063.96/282,097.02 = 75,795.80/x
  3. Step 3: Cross multiply
    188,063.96x = 282,097.02 × 75,795.80
  4. Step 4: Simplify right side
    188,063.96x = 21,381,769,308.52
  5. Step 5: Solve for x
    x = 21,381,769,308.52/188,063.96
  6. Step 6: Final answer
    x = 113,694.14

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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.