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Finding the Fourth Proportional to 115,996.38, 160,086.24 and 65,017.77

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Solution

The fourth proportional to 115,996.38, 160,086.24 and 65,017.77 is: 89,730.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,996.38 : 160,086.24 = 65,017.77 : x
  2. Step 2: Convert to fraction form
    115,996.38/160,086.24 = 65,017.77/x
  3. Step 3: Cross multiply
    115,996.38x = 160,086.24 × 65,017.77
  4. Step 4: Simplify right side
    115,996.38x = 10,408,450,332.48
  5. Step 5: Solve for x
    x = 10,408,450,332.48/115,996.38
  6. Step 6: Final answer
    x = 89,730.82

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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.