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Finding the Fourth Proportional to 133,285.40, 200,015.12 and 49,046.41

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Solution

The fourth proportional to 133,285.40, 200,015.12 and 49,046.41 is: 73,601.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,285.40 : 200,015.12 = 49,046.41 : x
  2. Step 2: Convert to fraction form
    133,285.40/200,015.12 = 49,046.41/x
  3. Step 3: Cross multiply
    133,285.40x = 200,015.12 × 49,046.41
  4. Step 4: Simplify right side
    133,285.40x = 9,810,023,954.35
  5. Step 5: Solve for x
    x = 9,810,023,954.35/133,285.40
  6. Step 6: Final answer
    x = 73,601.64

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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.