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Finding the Fourth Proportional to 142,990.74, 197,336.57 and 82,563.93

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Solution

The fourth proportional to 142,990.74, 197,336.57 and 82,563.93 is: 113,943.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,990.74 : 197,336.57 = 82,563.93 : x
  2. Step 2: Convert to fraction form
    142,990.74/197,336.57 = 82,563.93/x
  3. Step 3: Cross multiply
    142,990.74x = 197,336.57 × 82,563.93
  4. Step 4: Simplify right side
    142,990.74x = 16,292,882,339.10
  5. Step 5: Solve for x
    x = 16,292,882,339.10/142,990.74
  6. Step 6: Final answer
    x = 113,943.62

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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.