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Finding the Fourth Proportional to 133,322.76, 199,765.44 and 80,747.28

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Solution

The fourth proportional to 133,322.76, 199,765.44 and 80,747.28 is: 120,988.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,322.76 : 199,765.44 = 80,747.28 : x
  2. Step 2: Convert to fraction form
    133,322.76/199,765.44 = 80,747.28/x
  3. Step 3: Cross multiply
    133,322.76x = 199,765.44 × 80,747.28
  4. Step 4: Simplify right side
    133,322.76x = 16,130,515,918.00
  5. Step 5: Solve for x
    x = 16,130,515,918.00/133,322.76
  6. Step 6: Final answer
    x = 120,988.46

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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.