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Finding the Fourth Proportional to 149,858.34, 206,810.72 and 86,196.21

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Solution

The fourth proportional to 149,858.34, 206,810.72 and 86,196.21 is: 118,954.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,858.34 : 206,810.72 = 86,196.21 : x
  2. Step 2: Convert to fraction form
    149,858.34/206,810.72 = 86,196.21/x
  3. Step 3: Cross multiply
    149,858.34x = 206,810.72 × 86,196.21
  4. Step 4: Simplify right side
    149,858.34x = 17,826,300,251.37
  5. Step 5: Solve for x
    x = 17,826,300,251.37/149,858.34
  6. Step 6: Final answer
    x = 118,954.34

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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.