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Finding the Fourth Proportional to 193,800.80, 290,701.20 and 182,127.20

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Solution

The fourth proportional to 193,800.80, 290,701.20 and 182,127.20 is: 273,190.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,800.80 : 290,701.20 = 182,127.20 : x
  2. Step 2: Convert to fraction form
    193,800.80/290,701.20 = 182,127.20/x
  3. Step 3: Cross multiply
    193,800.80x = 290,701.20 × 182,127.20
  4. Step 4: Simplify right side
    193,800.80x = 52,944,595,592.64
  5. Step 5: Solve for x
    x = 52,944,595,592.64/193,800.80
  6. Step 6: Final answer
    x = 273,190.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.