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Finding the Fourth Proportional to 272,898.27, 408,894.86 and 165,958.74

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Solution

The fourth proportional to 272,898.27, 408,894.86 and 165,958.74 is: 248,662.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,898.27 : 408,894.86 = 165,958.74 : x
  2. Step 2: Convert to fraction form
    272,898.27/408,894.86 = 165,958.74/x
  3. Step 3: Cross multiply
    272,898.27x = 408,894.86 × 165,958.74
  4. Step 4: Simplify right side
    272,898.27x = 67,859,676,172.97
  5. Step 5: Solve for x
    x = 67,859,676,172.97/272,898.27
  6. Step 6: Final answer
    x = 248,662.90

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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.