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Finding the Fourth Proportional to 81,967.80, 122,951.70 and 81,449.40

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Solution

The fourth proportional to 81,967.80, 122,951.70 and 81,449.40 is: 122,174.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,967.80 : 122,951.70 = 81,449.40 : x
  2. Step 2: Convert to fraction form
    81,967.80/122,951.70 = 81,449.40/x
  3. Step 3: Cross multiply
    81,967.80x = 122,951.70 × 81,449.40
  4. Step 4: Simplify right side
    81,967.80x = 10,014,342,193.98
  5. Step 5: Solve for x
    x = 10,014,342,193.98/81,967.80
  6. Step 6: Final answer
    x = 122,174.10

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1.5x scale

Why These Related Problems?

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