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Finding the Fourth Proportional to 199,586.52, 275,422.50 and 118,972.50

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Solution

The fourth proportional to 199,586.52, 275,422.50 and 118,972.50 is: 164,177.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,586.52 : 275,422.50 = 118,972.50 : x
  2. Step 2: Convert to fraction form
    199,586.52/275,422.50 = 118,972.50/x
  3. Step 3: Cross multiply
    199,586.52x = 275,422.50 × 118,972.50
  4. Step 4: Simplify right side
    199,586.52x = 32,767,703,381.25
  5. Step 5: Solve for x
    x = 32,767,703,381.25/199,586.52
  6. Step 6: Final answer
    x = 164,177.94

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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.