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Finding the Fourth Proportional to 182,911.20, 274,237.20 and 83,119.20

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Solution

The fourth proportional to 182,911.20, 274,237.20 and 83,119.20 is: 124,619.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,911.20 : 274,237.20 = 83,119.20 : x
  2. Step 2: Convert to fraction form
    182,911.20/274,237.20 = 83,119.20/x
  3. Step 3: Cross multiply
    182,911.20x = 274,237.20 × 83,119.20
  4. Step 4: Simplify right side
    182,911.20x = 22,794,376,674.24
  5. Step 5: Solve for x
    x = 22,794,376,674.24/182,911.20
  6. Step 6: Final answer
    x = 124,619.91

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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.