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Finding the Fourth Proportional to 369,735.67, 510,235.14 and 199,969.75

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Solution

The fourth proportional to 369,735.67, 510,235.14 and 199,969.75 is: 275,958.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,735.67 : 510,235.14 = 199,969.75 : x
  2. Step 2: Convert to fraction form
    369,735.67/510,235.14 = 199,969.75/x
  3. Step 3: Cross multiply
    369,735.67x = 510,235.14 × 199,969.75
  4. Step 4: Simplify right side
    369,735.67x = 102,031,593,387.02
  5. Step 5: Solve for x
    x = 102,031,593,387.02/369,735.67
  6. Step 6: Final answer
    x = 275,958.21

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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.