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Finding the Fourth Proportional to 234,159.36, 351,254.70 and 82,338.30

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Solution

The fourth proportional to 234,159.36, 351,254.70 and 82,338.30 is: 123,512.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,159.36 : 351,254.70 = 82,338.30 : x
  2. Step 2: Convert to fraction form
    234,159.36/351,254.70 = 82,338.30/x
  3. Step 3: Cross multiply
    234,159.36x = 351,254.70 × 82,338.30
  4. Step 4: Simplify right side
    234,159.36x = 28,921,714,865.01
  5. Step 5: Solve for x
    x = 28,921,714,865.01/234,159.36
  6. Step 6: Final answer
    x = 123,512.96

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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.