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Finding the Fourth Proportional to 228,310.38, 314,930.57 and 150,786.50

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Solution

The fourth proportional to 228,310.38, 314,930.57 and 150,786.50 is: 207,994.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,310.38 : 314,930.57 = 150,786.50 : x
  2. Step 2: Convert to fraction form
    228,310.38/314,930.57 = 150,786.50/x
  3. Step 3: Cross multiply
    228,310.38x = 314,930.57 × 150,786.50
  4. Step 4: Simplify right side
    228,310.38x = 47,487,276,064.72
  5. Step 5: Solve for x
    x = 47,487,276,064.72/228,310.38
  6. Step 6: Final answer
    x = 207,994.38

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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.