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Finding the Fourth Proportional to 298,087.50, 411,367.23 and 163,951.50

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Solution

The fourth proportional to 298,087.50, 411,367.23 and 163,951.50 is: 226,256.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,087.50 : 411,367.23 = 163,951.50 : x
  2. Step 2: Convert to fraction form
    298,087.50/411,367.23 = 163,951.50/x
  3. Step 3: Cross multiply
    298,087.50x = 411,367.23 × 163,951.50
  4. Step 4: Simplify right side
    298,087.50x = 67,444,274,409.35
  5. Step 5: Solve for x
    x = 67,444,274,409.35/298,087.50
  6. Step 6: Final answer
    x = 226,256.63

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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.