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Finding the Fourth Proportional to 142,602, 196,842.60 and 82,986

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Solution

The fourth proportional to 142,602, 196,842.60 and 82,986 is: 114,550.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,602 : 196,842.60 = 82,986 : x
  2. Step 2: Convert to fraction form
    142,602/196,842.60 = 82,986/x
  3. Step 3: Cross multiply
    142,602x = 196,842.60 × 82,986
  4. Step 4: Simplify right side
    142,602x = 16,335,180,003.60
  5. Step 5: Solve for x
    x = 16,335,180,003.60/142,602
  6. Step 6: Final answer
    x = 114,550.85

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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.