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Finding the Fourth Proportional to 296,063.34, 443,727.06 and 135,969.48

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Solution

The fourth proportional to 296,063.34, 443,727.06 and 135,969.48 is: 203,785.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,063.34 : 443,727.06 = 135,969.48 : x
  2. Step 2: Convert to fraction form
    296,063.34/443,727.06 = 135,969.48/x
  3. Step 3: Cross multiply
    296,063.34x = 443,727.06 × 135,969.48
  4. Step 4: Simplify right side
    296,063.34x = 60,333,337,610.13
  5. Step 5: Solve for x
    x = 60,333,337,610.13/296,063.34
  6. Step 6: Final answer
    x = 203,785.24

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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.