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Finding the Fourth Proportional to 199,310.10, 298,101.15 and 178,401.30

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Solution

The fourth proportional to 199,310.10, 298,101.15 and 178,401.30 is: 266,828.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,310.10 : 298,101.15 = 178,401.30 : x
  2. Step 2: Convert to fraction form
    199,310.10/298,101.15 = 178,401.30/x
  3. Step 3: Cross multiply
    199,310.10x = 298,101.15 × 178,401.30
  4. Step 4: Simplify right side
    199,310.10x = 53,181,632,691.50
  5. Step 5: Solve for x
    x = 53,181,632,691.50/199,310.10
  6. Step 6: Final answer
    x = 266,828.59

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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.