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Finding the Fourth Proportional to 104,033.40, 155,786.10 and 57,233.40

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Solution

The fourth proportional to 104,033.40, 155,786.10 and 57,233.40 is: 85,704.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,033.40 : 155,786.10 = 57,233.40 : x
  2. Step 2: Convert to fraction form
    104,033.40/155,786.10 = 57,233.40/x
  3. Step 3: Cross multiply
    104,033.40x = 155,786.10 × 57,233.40
  4. Step 4: Simplify right side
    104,033.40x = 8,916,168,175.74
  5. Step 5: Solve for x
    x = 8,916,168,175.74/104,033.40
  6. Step 6: Final answer
    x = 85,704.86

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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.