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Finding the Fourth Proportional to 142,993.74, 197,340.72 and 82,566.93

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Solution

The fourth proportional to 142,993.74, 197,340.72 and 82,566.93 is: 113,947.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,993.74 : 197,340.72 = 82,566.93 : x
  2. Step 2: Convert to fraction form
    142,993.74/197,340.72 = 82,566.93/x
  3. Step 3: Cross multiply
    142,993.74x = 197,340.72 × 82,566.93
  4. Step 4: Simplify right side
    142,993.74x = 16,293,817,414.39
  5. Step 5: Solve for x
    x = 16,293,817,414.39/142,993.74
  6. Step 6: Final answer
    x = 113,947.77

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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.