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Finding the Fourth Proportional to 234,864, 352,064.04 and 150,383.76

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Solution

The fourth proportional to 234,864, 352,064.04 and 150,383.76 is: 225,427.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,864 : 352,064.04 = 150,383.76 : x
  2. Step 2: Convert to fraction form
    234,864/352,064.04 = 150,383.76/x
  3. Step 3: Cross multiply
    234,864x = 352,064.04 × 150,383.76
  4. Step 4: Simplify right side
    234,864x = 52,944,714,095.99
  5. Step 5: Solve for x
    x = 52,944,714,095.99/234,864
  6. Step 6: Final answer
    x = 225,427.12

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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.