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Finding the Fourth Proportional to 188,508.31, 282,783.25 and 55,398.94

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Solution

The fourth proportional to 188,508.31, 282,783.25 and 55,398.94 is: 83,104.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,508.31 : 282,783.25 = 55,398.94 : x
  2. Step 2: Convert to fraction form
    188,508.31/282,783.25 = 55,398.94/x
  3. Step 3: Cross multiply
    188,508.31x = 282,783.25 × 55,398.94
  4. Step 4: Simplify right side
    188,508.31x = 15,665,891,662.05
  5. Step 5: Solve for x
    x = 15,665,891,662.05/188,508.31
  6. Step 6: Final answer
    x = 83,104.51

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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.