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Finding the Fourth Proportional to 234,714.48, 323,900.28 and 134,106

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Solution

The fourth proportional to 234,714.48, 323,900.28 and 134,106 is: 185,063.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,714.48 : 323,900.28 = 134,106 : x
  2. Step 2: Convert to fraction form
    234,714.48/323,900.28 = 134,106/x
  3. Step 3: Cross multiply
    234,714.48x = 323,900.28 × 134,106
  4. Step 4: Simplify right side
    234,714.48x = 43,436,970,949.68
  5. Step 5: Solve for x
    x = 43,436,970,949.68/234,714.48
  6. Step 6: Final answer
    x = 185,063.02

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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.