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Finding the Fourth Proportional to 133,549.76, 200,266.02 and 40,033.64

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Solution

The fourth proportional to 133,549.76, 200,266.02 and 40,033.64 is: 60,032.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,549.76 : 200,266.02 = 40,033.64 : x
  2. Step 2: Convert to fraction form
    133,549.76/200,266.02 = 40,033.64/x
  3. Step 3: Cross multiply
    133,549.76x = 200,266.02 × 40,033.64
  4. Step 4: Simplify right side
    133,549.76x = 8,017,378,249.58
  5. Step 5: Solve for x
    x = 8,017,378,249.58/133,549.76
  6. Step 6: Final answer
    x = 60,032.89

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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.