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Finding the Fourth Proportional to 133,225.50, 199,980.52 and 57,361.58

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Solution

The fourth proportional to 133,225.50, 199,980.52 and 57,361.58 is: 86,103.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,225.50 : 199,980.52 = 57,361.58 : x
  2. Step 2: Convert to fraction form
    133,225.50/199,980.52 = 57,361.58/x
  3. Step 3: Cross multiply
    133,225.50x = 199,980.52 × 57,361.58
  4. Step 4: Simplify right side
    133,225.50x = 11,471,198,952.97
  5. Step 5: Solve for x
    x = 11,471,198,952.97/133,225.50
  6. Step 6: Final answer
    x = 86,103.63

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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.