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Finding the Fourth Proportional to 97,168.92, 145,887.72 and 67,112.70

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Solution

The fourth proportional to 97,168.92, 145,887.72 and 67,112.70 is: 100,761.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,168.92 : 145,887.72 = 67,112.70 : x
  2. Step 2: Convert to fraction form
    97,168.92/145,887.72 = 67,112.70/x
  3. Step 3: Cross multiply
    97,168.92x = 145,887.72 × 67,112.70
  4. Step 4: Simplify right side
    97,168.92x = 9,790,918,786.04
  5. Step 5: Solve for x
    x = 9,790,918,786.04/97,168.92
  6. Step 6: Final answer
    x = 100,761.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.