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Finding the Fourth Proportional to 234,722.48, 323,911.32 and 134,114

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Solution

The fourth proportional to 234,722.48, 323,911.32 and 134,114 is: 185,074.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,722.48 : 323,911.32 = 134,114 : x
  2. Step 2: Convert to fraction form
    234,722.48/323,911.32 = 134,114/x
  3. Step 3: Cross multiply
    234,722.48x = 323,911.32 × 134,114
  4. Step 4: Simplify right side
    234,722.48x = 43,441,042,770.48
  5. Step 5: Solve for x
    x = 43,441,042,770.48/234,722.48
  6. Step 6: Final answer
    x = 185,074.06

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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.