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Finding the Fourth Proportional to 116,969.48, 161,408.10 and 69,214.48

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Solution

The fourth proportional to 116,969.48, 161,408.10 and 69,214.48 is: 95,510.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,969.48 : 161,408.10 = 69,214.48 : x
  2. Step 2: Convert to fraction form
    116,969.48/161,408.10 = 69,214.48/x
  3. Step 3: Cross multiply
    116,969.48x = 161,408.10 × 69,214.48
  4. Step 4: Simplify right side
    116,969.48x = 11,171,777,709.29
  5. Step 5: Solve for x
    x = 11,171,777,709.29/116,969.48
  6. Step 6: Final answer
    x = 95,510.19

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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.