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Finding the Fourth Proportional to 116,834, 161,204.52 and 69,089.36

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Solution

The fourth proportional to 116,834, 161,204.52 and 69,089.36 is: 95,327.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,834 : 161,204.52 = 69,089.36 : x
  2. Step 2: Convert to fraction form
    116,834/161,204.52 = 69,089.36/x
  3. Step 3: Cross multiply
    116,834x = 161,204.52 × 69,089.36
  4. Step 4: Simplify right side
    116,834x = 11,137,517,115.91
  5. Step 5: Solve for x
    x = 11,137,517,115.91/116,834
  6. Step 6: Final answer
    x = 95,327.71

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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.