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Finding the Fourth Proportional to 116,471.82, 160,748.37 and 71,175.90

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Solution

The fourth proportional to 116,471.82, 160,748.37 and 71,175.90 is: 98,233.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,471.82 : 160,748.37 = 71,175.90 : x
  2. Step 2: Convert to fraction form
    116,471.82/160,748.37 = 71,175.90/x
  3. Step 3: Cross multiply
    116,471.82x = 160,748.37 × 71,175.90
  4. Step 4: Simplify right side
    116,471.82x = 11,441,409,908.28
  5. Step 5: Solve for x
    x = 11,441,409,908.28/116,471.82
  6. Step 6: Final answer
    x = 98,233.29

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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.