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Finding the Fourth Proportional to 174,214.40, 261,321.60 and 104,057.60

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Solution

The fourth proportional to 174,214.40, 261,321.60 and 104,057.60 is: 156,086.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,214.40 : 261,321.60 = 104,057.60 : x
  2. Step 2: Convert to fraction form
    174,214.40/261,321.60 = 104,057.60/x
  3. Step 3: Cross multiply
    174,214.40x = 261,321.60 × 104,057.60
  4. Step 4: Simplify right side
    174,214.40x = 27,192,498,524.16
  5. Step 5: Solve for x
    x = 27,192,498,524.16/174,214.40
  6. Step 6: Final answer
    x = 156,086.40

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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.