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Finding the Fourth Proportional to 174,193.88, 261,334.69 and 49,534.88

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Solution

The fourth proportional to 174,193.88, 261,334.69 and 49,534.88 is: 74,314.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,193.88 : 261,334.69 = 49,534.88 : x
  2. Step 2: Convert to fraction form
    174,193.88/261,334.69 = 49,534.88/x
  3. Step 3: Cross multiply
    174,193.88x = 261,334.69 × 49,534.88
  4. Step 4: Simplify right side
    174,193.88x = 12,945,181,078.48
  5. Step 5: Solve for x
    x = 12,945,181,078.48/174,193.88
  6. Step 6: Final answer
    x = 74,314.79

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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.