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Finding the Fourth Proportional to 133,540.60, 200,324.94 and 54,642.28

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Solution

The fourth proportional to 133,540.60, 200,324.94 and 54,642.28 is: 81,969.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,540.60 : 200,324.94 = 54,642.28 : x
  2. Step 2: Convert to fraction form
    133,540.60/200,324.94 = 54,642.28/x
  3. Step 3: Cross multiply
    133,540.60x = 200,324.94 × 54,642.28
  4. Step 4: Simplify right side
    133,540.60x = 10,946,211,462.46
  5. Step 5: Solve for x
    x = 10,946,211,462.46/133,540.60
  6. Step 6: Final answer
    x = 81,969.16

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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.