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Finding the Fourth Proportional to 133,831.70, 200,747.55 and 54,905.30

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Solution

The fourth proportional to 133,831.70, 200,747.55 and 54,905.30 is: 82,357.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,831.70 : 200,747.55 = 54,905.30 : x
  2. Step 2: Convert to fraction form
    133,831.70/200,747.55 = 54,905.30/x
  3. Step 3: Cross multiply
    133,831.70x = 200,747.55 × 54,905.30
  4. Step 4: Simplify right side
    133,831.70x = 11,022,104,457.02
  5. Step 5: Solve for x
    x = 11,022,104,457.02/133,831.70
  6. Step 6: Final answer
    x = 82,357.95

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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.