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Finding the Fourth Proportional to 113,604.48, 170,406.72 and 71,964

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Solution

The fourth proportional to 113,604.48, 170,406.72 and 71,964 is: 107,946

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,604.48 : 170,406.72 = 71,964 : x
  2. Step 2: Convert to fraction form
    113,604.48/170,406.72 = 71,964/x
  3. Step 3: Cross multiply
    113,604.48x = 170,406.72 × 71,964
  4. Step 4: Simplify right side
    113,604.48x = 12,263,149,198.08
  5. Step 5: Solve for x
    x = 12,263,149,198.08/113,604.48
  6. Step 6: Final answer
    x = 107,946

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.