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Finding the Fourth Proportional to 120,098, 165,735.24 and 67,106

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Solution

The fourth proportional to 120,098, 165,735.24 and 67,106 is: 92,606.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,098 : 165,735.24 = 67,106 : x
  2. Step 2: Convert to fraction form
    120,098/165,735.24 = 67,106/x
  3. Step 3: Cross multiply
    120,098x = 165,735.24 × 67,106
  4. Step 4: Simplify right side
    120,098x = 11,121,829,015.44
  5. Step 5: Solve for x
    x = 11,121,829,015.44/120,098
  6. Step 6: Final answer
    x = 92,606.28

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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.