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Finding the Fourth Proportional to 142,952.68, 197,258.34 and 82,523.08

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Solution

The fourth proportional to 142,952.68, 197,258.34 and 82,523.08 is: 113,872.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,952.68 : 197,258.34 = 82,523.08 : x
  2. Step 2: Convert to fraction form
    142,952.68/197,258.34 = 82,523.08/x
  3. Step 3: Cross multiply
    142,952.68x = 197,258.34 × 82,523.08
  4. Step 4: Simplify right side
    142,952.68x = 16,278,365,772.49
  5. Step 5: Solve for x
    x = 16,278,365,772.49/142,952.68
  6. Step 6: Final answer
    x = 113,872.41

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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.