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Finding the Fourth Proportional to 203,674.27, 305,471.85 and 102,445.33

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Solution

The fourth proportional to 203,674.27, 305,471.85 and 102,445.33 is: 153,648.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,674.27 : 305,471.85 = 102,445.33 : x
  2. Step 2: Convert to fraction form
    203,674.27/305,471.85 = 102,445.33/x
  3. Step 3: Cross multiply
    203,674.27x = 305,471.85 × 102,445.33
  4. Step 4: Simplify right side
    203,674.27x = 31,294,164,478.96
  5. Step 5: Solve for x
    x = 31,294,164,478.96/203,674.27
  6. Step 6: Final answer
    x = 153,648.10

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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.