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Finding the Fourth Proportional to 97,910.22, 146,835.44 and 67,709.49

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Solution

The fourth proportional to 97,910.22, 146,835.44 and 67,709.49 is: 101,543.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,910.22 : 146,835.44 = 67,709.49 : x
  2. Step 2: Convert to fraction form
    97,910.22/146,835.44 = 67,709.49/x
  3. Step 3: Cross multiply
    97,910.22x = 146,835.44 × 67,709.49
  4. Step 4: Simplify right side
    97,910.22x = 9,942,152,050.69
  5. Step 5: Solve for x
    x = 9,942,152,050.69/97,910.22
  6. Step 6: Final answer
    x = 101,543.55

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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.