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Finding the Fourth Proportional to 116,754.24, 161,114.24 and 69,012

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Solution

The fourth proportional to 116,754.24, 161,114.24 and 69,012 is: 95,232.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,754.24 : 161,114.24 = 69,012 : x
  2. Step 2: Convert to fraction form
    116,754.24/161,114.24 = 69,012/x
  3. Step 3: Cross multiply
    116,754.24x = 161,114.24 × 69,012
  4. Step 4: Simplify right side
    116,754.24x = 11,118,815,930.88
  5. Step 5: Solve for x
    x = 11,118,815,930.88/116,754.24
  6. Step 6: Final answer
    x = 95,232.65

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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.