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Finding the Fourth Proportional to 188,063.01, 282,164.75 and 75,775.09

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Solution

The fourth proportional to 188,063.01, 282,164.75 and 75,775.09 is: 113,690.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,063.01 : 282,164.75 = 75,775.09 : x
  2. Step 2: Convert to fraction form
    188,063.01/282,164.75 = 75,775.09/x
  3. Step 3: Cross multiply
    188,063.01x = 282,164.75 × 75,775.09
  4. Step 4: Simplify right side
    188,063.01x = 21,381,058,241.79
  5. Step 5: Solve for x
    x = 21,381,058,241.79/188,063.01
  6. Step 6: Final answer
    x = 113,690.93

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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.