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Finding the Fourth Proportional to 143,184.56, 197,583.12 and 82,759.11

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Solution

The fourth proportional to 143,184.56, 197,583.12 and 82,759.11 is: 114,200.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,184.56 : 197,583.12 = 82,759.11 : x
  2. Step 2: Convert to fraction form
    143,184.56/197,583.12 = 82,759.11/x
  3. Step 3: Cross multiply
    143,184.56x = 197,583.12 × 82,759.11
  4. Step 4: Simplify right side
    143,184.56x = 16,351,803,162.22
  5. Step 5: Solve for x
    x = 16,351,803,162.22/143,184.56
  6. Step 6: Final answer
    x = 114,200.89

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Why These Related Problems?

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