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Finding the Fourth Proportional to 101,674.50, 140,310.54 and 56,352.57

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Solution

The fourth proportional to 101,674.50, 140,310.54 and 56,352.57 is: 77,766.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,674.50 : 140,310.54 = 56,352.57 : x
  2. Step 2: Convert to fraction form
    101,674.50/140,310.54 = 56,352.57/x
  3. Step 3: Cross multiply
    101,674.50x = 140,310.54 × 56,352.57
  4. Step 4: Simplify right side
    101,674.50x = 7,906,859,527.09
  5. Step 5: Solve for x
    x = 7,906,859,527.09/101,674.50
  6. Step 6: Final answer
    x = 77,766.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.