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Finding the Fourth Proportional to 199,654.84, 275,424.26 and 119,025.56

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Solution

The fourth proportional to 199,654.84, 275,424.26 and 119,025.56 is: 164,196.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,654.84 : 275,424.26 = 119,025.56 : x
  2. Step 2: Convert to fraction form
    199,654.84/275,424.26 = 119,025.56/x
  3. Step 3: Cross multiply
    199,654.84x = 275,424.26 × 119,025.56
  4. Step 4: Simplify right side
    199,654.84x = 32,782,526,784.09
  5. Step 5: Solve for x
    x = 32,782,526,784.09/199,654.84
  6. Step 6: Final answer
    x = 164,196.00

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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.