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Finding the Fourth Proportional to 107,847.80, 161,771.70 and 55,359.80

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Solution

The fourth proportional to 107,847.80, 161,771.70 and 55,359.80 is: 83,039.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,847.80 : 161,771.70 = 55,359.80 : x
  2. Step 2: Convert to fraction form
    107,847.80/161,771.70 = 55,359.80/x
  3. Step 3: Cross multiply
    107,847.80x = 161,771.70 × 55,359.80
  4. Step 4: Simplify right side
    107,847.80x = 8,955,648,957.66
  5. Step 5: Solve for x
    x = 8,955,648,957.66/107,847.80
  6. Step 6: Final answer
    x = 83,039.70

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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.