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Finding the Fourth Proportional to 188,444.93, 282,720.16 and 76,203.97

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Solution

The fourth proportional to 188,444.93, 282,720.16 and 76,203.97 is: 114,327.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,444.93 : 282,720.16 = 76,203.97 : x
  2. Step 2: Convert to fraction form
    188,444.93/282,720.16 = 76,203.97/x
  3. Step 3: Cross multiply
    188,444.93x = 282,720.16 × 76,203.97
  4. Step 4: Simplify right side
    188,444.93x = 21,544,398,591.04
  5. Step 5: Solve for x
    x = 21,544,398,591.04/188,444.93
  6. Step 6: Final answer
    x = 114,327.29

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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.