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Finding the Fourth Proportional to 107,814.80, 161,722.20 and 55,326.80

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Solution

The fourth proportional to 107,814.80, 161,722.20 and 55,326.80 is: 82,990.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,814.80 : 161,722.20 = 55,326.80 : x
  2. Step 2: Convert to fraction form
    107,814.80/161,722.20 = 55,326.80/x
  3. Step 3: Cross multiply
    107,814.80x = 161,722.20 × 55,326.80
  4. Step 4: Simplify right side
    107,814.80x = 8,947,571,814.96
  5. Step 5: Solve for x
    x = 8,947,571,814.96/107,814.80
  6. Step 6: Final answer
    x = 82,990.20

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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.