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Finding the Fourth Proportional to 234,906, 324,171.14 and 127,476.01

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Solution

The fourth proportional to 234,906, 324,171.14 and 127,476.01 is: 175,917.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,906 : 324,171.14 = 127,476.01 : x
  2. Step 2: Convert to fraction form
    234,906/324,171.14 = 127,476.01/x
  3. Step 3: Cross multiply
    234,906x = 324,171.14 × 127,476.01
  4. Step 4: Simplify right side
    234,906x = 41,324,043,484.35
  5. Step 5: Solve for x
    x = 41,324,043,484.35/234,906
  6. Step 6: Final answer
    x = 175,917.36

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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.