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Finding the Fourth Proportional to 97,092.36, 134,028.75 and 65,279.70

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Solution

The fourth proportional to 97,092.36, 134,028.75 and 65,279.70 is: 90,113.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,092.36 : 134,028.75 = 65,279.70 : x
  2. Step 2: Convert to fraction form
    97,092.36/134,028.75 = 65,279.70/x
  3. Step 3: Cross multiply
    97,092.36x = 134,028.75 × 65,279.70
  4. Step 4: Simplify right side
    97,092.36x = 8,749,356,591.38
  5. Step 5: Solve for x
    x = 8,749,356,591.38/97,092.36
  6. Step 6: Final answer
    x = 90,113.75

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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.