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Finding the Fourth Proportional to 110,824.80, 166,237.20 and 84,580.80

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Solution

The fourth proportional to 110,824.80, 166,237.20 and 84,580.80 is: 126,871.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,824.80 : 166,237.20 = 84,580.80 : x
  2. Step 2: Convert to fraction form
    110,824.80/166,237.20 = 84,580.80/x
  3. Step 3: Cross multiply
    110,824.80x = 166,237.20 × 84,580.80
  4. Step 4: Simplify right side
    110,824.80x = 14,060,475,365.76
  5. Step 5: Solve for x
    x = 14,060,475,365.76/110,824.80
  6. Step 6: Final answer
    x = 126,871.20

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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.