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Finding the Fourth Proportional to 149,841, 206,786.52 and 86,178.72

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Solution

The fourth proportional to 149,841, 206,786.52 and 86,178.72 is: 118,930.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,841 : 206,786.52 = 86,178.72 : x
  2. Step 2: Convert to fraction form
    149,841/206,786.52 = 86,178.72/x
  3. Step 3: Cross multiply
    149,841x = 206,786.52 × 86,178.72
  4. Step 4: Simplify right side
    149,841x = 17,820,597,606.85
  5. Step 5: Solve for x
    x = 17,820,597,606.85/149,841
  6. Step 6: Final answer
    x = 118,930.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.