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Finding the Fourth Proportional to 215,086.40, 322,586.40 and 102,766.40

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Solution

The fourth proportional to 215,086.40, 322,586.40 and 102,766.40 is: 154,128.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,086.40 : 322,586.40 = 102,766.40 : x
  2. Step 2: Convert to fraction form
    215,086.40/322,586.40 = 102,766.40/x
  3. Step 3: Cross multiply
    215,086.40x = 322,586.40 × 102,766.40
  4. Step 4: Simplify right side
    215,086.40x = 33,151,043,016.96
  5. Step 5: Solve for x
    x = 33,151,043,016.96/215,086.40
  6. Step 6: Final answer
    x = 154,128.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.