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Finding the Fourth Proportional to 116,834, 161,230.92 and 63,842

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Solution

The fourth proportional to 116,834, 161,230.92 and 63,842 is: 88,101.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,834 : 161,230.92 = 63,842 : x
  2. Step 2: Convert to fraction form
    116,834/161,230.92 = 63,842/x
  3. Step 3: Cross multiply
    116,834x = 161,230.92 × 63,842
  4. Step 4: Simplify right side
    116,834x = 10,293,304,394.64
  5. Step 5: Solve for x
    x = 10,293,304,394.64/116,834
  6. Step 6: Final answer
    x = 88,101.96

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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.