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Finding the Fourth Proportional to 295,882.55, 408,309.75 and 166,819.89

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Solution

The fourth proportional to 295,882.55, 408,309.75 and 166,819.89 is: 230,206.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,882.55 : 408,309.75 = 166,819.89 : x
  2. Step 2: Convert to fraction form
    295,882.55/408,309.75 = 166,819.89/x
  3. Step 3: Cross multiply
    295,882.55x = 408,309.75 × 166,819.89
  4. Step 4: Simplify right side
    295,882.55x = 68,114,189,741.01
  5. Step 5: Solve for x
    x = 68,114,189,741.01/295,882.55
  6. Step 6: Final answer
    x = 230,206.85

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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.