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Finding the Fourth Proportional to 142,509.50, 196,615.35 and 82,078.93

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Solution

The fourth proportional to 142,509.50, 196,615.35 and 82,078.93 is: 113,241.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,509.50 : 196,615.35 = 82,078.93 : x
  2. Step 2: Convert to fraction form
    142,509.50/196,615.35 = 82,078.93/x
  3. Step 3: Cross multiply
    142,509.50x = 196,615.35 × 82,078.93
  4. Step 4: Simplify right side
    142,509.50x = 16,137,977,058.04
  5. Step 5: Solve for x
    x = 16,137,977,058.04/142,509.50
  6. Step 6: Final answer
    x = 113,241.42

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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.