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Finding the Fourth Proportional to 149,858.10, 206,817.30 and 86,216.40

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Solution

The fourth proportional to 149,858.10, 206,817.30 and 86,216.40 is: 118,986.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,858.10 : 206,817.30 = 86,216.40 : x
  2. Step 2: Convert to fraction form
    149,858.10/206,817.30 = 86,216.40/x
  3. Step 3: Cross multiply
    149,858.10x = 206,817.30 × 86,216.40
  4. Step 4: Simplify right side
    149,858.10x = 17,831,043,063.72
  5. Step 5: Solve for x
    x = 17,831,043,063.72/149,858.10
  6. Step 6: Final answer
    x = 118,986.18

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1.5x scale

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.