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Finding the Fourth Proportional to 174,887.60, 262,914.60 and 149,226.80

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Solution

The fourth proportional to 174,887.60, 262,914.60 and 149,226.80 is: 224,337.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,887.60 : 262,914.60 = 149,226.80 : x
  2. Step 2: Convert to fraction form
    174,887.60/262,914.60 = 149,226.80/x
  3. Step 3: Cross multiply
    174,887.60x = 262,914.60 × 149,226.80
  4. Step 4: Simplify right side
    174,887.60x = 39,233,904,431.28
  5. Step 5: Solve for x
    x = 39,233,904,431.28/174,887.60
  6. Step 6: Final answer
    x = 224,337.83

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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.