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Finding the Fourth Proportional to 116,833, 161,229.54 and 63,841

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Solution

The fourth proportional to 116,833, 161,229.54 and 63,841 is: 88,100.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,833 : 161,229.54 = 63,841 : x
  2. Step 2: Convert to fraction form
    116,833/161,229.54 = 63,841/x
  3. Step 3: Cross multiply
    116,833x = 161,229.54 × 63,841
  4. Step 4: Simplify right side
    116,833x = 10,293,055,063.14
  5. Step 5: Solve for x
    x = 10,293,055,063.14/116,833
  6. Step 6: Final answer
    x = 88,100.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.