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Finding the Fourth Proportional to 116,198.38, 160,353.76 and 65,897.38

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Solution

The fourth proportional to 116,198.38, 160,353.76 and 65,897.38 is: 90,938.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,198.38 : 160,353.76 = 65,897.38 : x
  2. Step 2: Convert to fraction form
    116,198.38/160,353.76 = 65,897.38/x
  3. Step 3: Cross multiply
    116,198.38x = 160,353.76 × 65,897.38
  4. Step 4: Simplify right side
    116,198.38x = 10,566,891,855.38
  5. Step 5: Solve for x
    x = 10,566,891,855.38/116,198.38
  6. Step 6: Final answer
    x = 90,938.38

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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.