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Finding the Fourth Proportional to 81,465.80, 122,198.70 and 61,782.80

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Solution

The fourth proportional to 81,465.80, 122,198.70 and 61,782.80 is: 92,674.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,465.80 : 122,198.70 = 61,782.80 : x
  2. Step 2: Convert to fraction form
    81,465.80/122,198.70 = 61,782.80/x
  3. Step 3: Cross multiply
    81,465.80x = 122,198.70 × 61,782.80
  4. Step 4: Simplify right side
    81,465.80x = 7,549,777,842.36
  5. Step 5: Solve for x
    x = 7,549,777,842.36/81,465.80
  6. Step 6: Final answer
    x = 92,674.20

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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.