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Finding the Fourth Proportional to 402,029.72, 603,110.10 and 135,806.12

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Solution

The fourth proportional to 402,029.72, 603,110.10 and 135,806.12 is: 203,731.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,029.72 : 603,110.10 = 135,806.12 : x
  2. Step 2: Convert to fraction form
    402,029.72/603,110.10 = 135,806.12/x
  3. Step 3: Cross multiply
    402,029.72x = 603,110.10 × 135,806.12
  4. Step 4: Simplify right side
    402,029.72x = 81,906,042,613.81
  5. Step 5: Solve for x
    x = 81,906,042,613.81/402,029.72
  6. Step 6: Final answer
    x = 203,731.31

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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.