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Finding the Fourth Proportional to 199,586.52, 275,422.56 and 118,972.56

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Solution

The fourth proportional to 199,586.52, 275,422.56 and 118,972.56 is: 164,178.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,586.52 : 275,422.56 = 118,972.56 : x
  2. Step 2: Convert to fraction form
    199,586.52/275,422.56 = 118,972.56/x
  3. Step 3: Cross multiply
    199,586.52x = 275,422.56 × 118,972.56
  4. Step 4: Simplify right side
    199,586.52x = 32,767,727,044.95
  5. Step 5: Solve for x
    x = 32,767,727,044.95/199,586.52
  6. Step 6: Final answer
    x = 164,178.06

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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.