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Finding the Fourth Proportional to 193,884.80, 290,827.20 and 100,419.20

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Solution

The fourth proportional to 193,884.80, 290,827.20 and 100,419.20 is: 150,628.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,884.80 : 290,827.20 = 100,419.20 : x
  2. Step 2: Convert to fraction form
    193,884.80/290,827.20 = 100,419.20/x
  3. Step 3: Cross multiply
    193,884.80x = 290,827.20 × 100,419.20
  4. Step 4: Simplify right side
    193,884.80x = 29,204,634,762.24
  5. Step 5: Solve for x
    x = 29,204,634,762.24/193,884.80
  6. Step 6: Final answer
    x = 150,628.80

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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.