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Finding the Fourth Proportional to 116,317.91, 160,536.38 and 71,022.30

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Solution

The fourth proportional to 116,317.91, 160,536.38 and 71,022.30 is: 98,021.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,317.91 : 160,536.38 = 71,022.30 : x
  2. Step 2: Convert to fraction form
    116,317.91/160,536.38 = 71,022.30/x
  3. Step 3: Cross multiply
    116,317.91x = 160,536.38 × 71,022.30
  4. Step 4: Simplify right side
    116,317.91x = 11,401,662,586.16
  5. Step 5: Solve for x
    x = 11,401,662,586.16/116,317.91
  6. Step 6: Final answer
    x = 98,021.56

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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.