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Finding the Fourth Proportional to 234,906, 352,410.84 and 87,162

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Solution

The fourth proportional to 234,906, 352,410.84 and 87,162 is: 130,762.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,906 : 352,410.84 = 87,162 : x
  2. Step 2: Convert to fraction form
    234,906/352,410.84 = 87,162/x
  3. Step 3: Cross multiply
    234,906x = 352,410.84 × 87,162
  4. Step 4: Simplify right side
    234,906x = 30,716,833,636.08
  5. Step 5: Solve for x
    x = 30,716,833,636.08/234,906
  6. Step 6: Final answer
    x = 130,762.24

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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.