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Finding the Fourth Proportional to 199,710.63, 275,474.12 and 151,859.07

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Solution

The fourth proportional to 199,710.63, 275,474.12 and 151,859.07 is: 209,469.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,710.63 : 275,474.12 = 151,859.07 : x
  2. Step 2: Convert to fraction form
    199,710.63/275,474.12 = 151,859.07/x
  3. Step 3: Cross multiply
    199,710.63x = 275,474.12 × 151,859.07
  4. Step 4: Simplify right side
    199,710.63x = 41,833,242,912.97
  5. Step 5: Solve for x
    x = 41,833,242,912.97/199,710.63
  6. Step 6: Final answer
    x = 209,469.29

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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.