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Finding the Fourth Proportional to 143,011.74, 197,384.92 and 82,592.22

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Solution

The fourth proportional to 143,011.74, 197,384.92 and 82,592.22 is: 113,993.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,011.74 : 197,384.92 = 82,592.22 : x
  2. Step 2: Convert to fraction form
    143,011.74/197,384.92 = 82,592.22/x
  3. Step 3: Cross multiply
    143,011.74x = 197,384.92 × 82,592.22
  4. Step 4: Simplify right side
    143,011.74x = 16,302,458,737.32
  5. Step 5: Solve for x
    x = 16,302,458,737.32/143,011.74
  6. Step 6: Final answer
    x = 113,993.85

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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.