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Finding the Fourth Proportional to 150,733.96, 208,015.48 and 82,757.26

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Solution

The fourth proportional to 150,733.96, 208,015.48 and 82,757.26 is: 114,206.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,733.96 : 208,015.48 = 82,757.26 : x
  2. Step 2: Convert to fraction form
    150,733.96/208,015.48 = 82,757.26/x
  3. Step 3: Cross multiply
    150,733.96x = 208,015.48 × 82,757.26
  4. Step 4: Simplify right side
    150,733.96x = 17,214,791,162.38
  5. Step 5: Solve for x
    x = 17,214,791,162.38/150,733.96
  6. Step 6: Final answer
    x = 114,206.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.