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Finding the Fourth Proportional to 116,459.12, 160,731.12 and 71,163.38

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Solution

The fourth proportional to 116,459.12, 160,731.12 and 71,163.38 is: 98,216.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,459.12 : 160,731.12 = 71,163.38 : x
  2. Step 2: Convert to fraction form
    116,459.12/160,731.12 = 71,163.38/x
  3. Step 3: Cross multiply
    116,459.12x = 160,731.12 × 71,163.38
  4. Step 4: Simplify right side
    116,459.12x = 11,438,169,770.39
  5. Step 5: Solve for x
    x = 11,438,169,770.39/116,459.12
  6. Step 6: Final answer
    x = 98,216.18

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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.