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Finding the Fourth Proportional to 174,893.60, 262,923.60 and 149,232.80

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Solution

The fourth proportional to 174,893.60, 262,923.60 and 149,232.80 is: 224,346.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,893.60 : 262,923.60 = 149,232.80 : x
  2. Step 2: Convert to fraction form
    174,893.60/262,923.60 = 149,232.80/x
  3. Step 3: Cross multiply
    174,893.60x = 262,923.60 × 149,232.80
  4. Step 4: Simplify right side
    174,893.60x = 39,236,825,014.08
  5. Step 5: Solve for x
    x = 39,236,825,014.08/174,893.60
  6. Step 6: Final answer
    x = 224,346.83

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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.