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Finding the Fourth Proportional to 264,072.56, 364,420.32 and 143,213.84

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Solution

The fourth proportional to 264,072.56, 364,420.32 and 143,213.84 is: 197,635.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,072.56 : 364,420.32 = 143,213.84 : x
  2. Step 2: Convert to fraction form
    264,072.56/364,420.32 = 143,213.84/x
  3. Step 3: Cross multiply
    264,072.56x = 364,420.32 × 143,213.84
  4. Step 4: Simplify right side
    264,072.56x = 52,190,033,401.23
  5. Step 5: Solve for x
    x = 52,190,033,401.23/264,072.56
  6. Step 6: Final answer
    x = 197,635.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.