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Finding the Fourth Proportional to 188,171.63, 282,312.81 and 75,794.01

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Solution

The fourth proportional to 188,171.63, 282,312.81 and 75,794.01 is: 113,713.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,171.63 : 282,312.81 = 75,794.01 : x
  2. Step 2: Convert to fraction form
    188,171.63/282,312.81 = 75,794.01/x
  3. Step 3: Cross multiply
    188,171.63x = 282,312.81 × 75,794.01
  4. Step 4: Simplify right side
    188,171.63x = 21,397,619,944.27
  5. Step 5: Solve for x
    x = 21,397,619,944.27/188,171.63
  6. Step 6: Final answer
    x = 113,713.32

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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.