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Finding the Fourth Proportional to 228,906.14, 315,894.30 and 126,935.90

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Solution

The fourth proportional to 228,906.14, 315,894.30 and 126,935.90 is: 175,173.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,906.14 : 315,894.30 = 126,935.90 : x
  2. Step 2: Convert to fraction form
    228,906.14/315,894.30 = 126,935.90/x
  3. Step 3: Cross multiply
    228,906.14x = 315,894.30 × 126,935.90
  4. Step 4: Simplify right side
    228,906.14x = 40,098,328,065.11
  5. Step 5: Solve for x
    x = 40,098,328,065.11/228,906.14
  6. Step 6: Final answer
    x = 175,173.67

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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.