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Finding the Fourth Proportional to 222,834.10, 334,353.21 and 96,512.98

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Solution

The fourth proportional to 222,834.10, 334,353.21 and 96,512.98 is: 144,813.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,834.10 : 334,353.21 = 96,512.98 : x
  2. Step 2: Convert to fraction form
    222,834.10/334,353.21 = 96,512.98/x
  3. Step 3: Cross multiply
    222,834.10x = 334,353.21 × 96,512.98
  4. Step 4: Simplify right side
    222,834.10x = 32,269,423,592.50
  5. Step 5: Solve for x
    x = 32,269,423,592.50/222,834.10
  6. Step 6: Final answer
    x = 144,813.67

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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.