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Finding the Fourth Proportional to 119,170, 164,458.92 and 68,191.84

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Solution

The fourth proportional to 119,170, 164,458.92 and 68,191.84 is: 94,107.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,170 : 164,458.92 = 68,191.84 : x
  2. Step 2: Convert to fraction form
    119,170/164,458.92 = 68,191.84/x
  3. Step 3: Cross multiply
    119,170x = 164,458.92 × 68,191.84
  4. Step 4: Simplify right side
    119,170x = 11,214,756,359.21
  5. Step 5: Solve for x
    x = 11,214,756,359.21/119,170
  6. Step 6: Final answer
    x = 94,107.21

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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.