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Finding the Fourth Proportional to 199,241.80, 297,987.90 and 152,002.60

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Solution

The fourth proportional to 199,241.80, 297,987.90 and 152,002.60 is: 227,336.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,241.80 : 297,987.90 = 152,002.60 : x
  2. Step 2: Convert to fraction form
    199,241.80/297,987.90 = 152,002.60/x
  3. Step 3: Cross multiply
    199,241.80x = 297,987.90 × 152,002.60
  4. Step 4: Simplify right side
    199,241.80x = 45,294,935,568.54
  5. Step 5: Solve for x
    x = 45,294,935,568.54/199,241.80
  6. Step 6: Final answer
    x = 227,336.51

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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.