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Finding the Fourth Proportional to 133,449.30, 200,173.14 and 53,523.36

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Solution

The fourth proportional to 133,449.30, 200,173.14 and 53,523.36 is: 80,284.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,449.30 : 200,173.14 = 53,523.36 : x
  2. Step 2: Convert to fraction form
    133,449.30/200,173.14 = 53,523.36/x
  3. Step 3: Cross multiply
    133,449.30x = 200,173.14 × 53,523.36
  4. Step 4: Simplify right side
    133,449.30x = 10,713,939,034.55
  5. Step 5: Solve for x
    x = 10,713,939,034.55/133,449.30
  6. Step 6: Final answer
    x = 80,284.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.