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Finding the Fourth Proportional to 116,049.26, 160,148.38 and 73,057.19

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Solution

The fourth proportional to 116,049.26, 160,148.38 and 73,057.19 is: 100,819.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,049.26 : 160,148.38 = 73,057.19 : x
  2. Step 2: Convert to fraction form
    116,049.26/160,148.38 = 73,057.19/x
  3. Step 3: Cross multiply
    116,049.26x = 160,148.38 × 73,057.19
  4. Step 4: Simplify right side
    116,049.26x = 11,699,990,885.76
  5. Step 5: Solve for x
    x = 11,699,990,885.76/116,049.26
  6. Step 6: Final answer
    x = 100,819.18

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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.