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Finding the Fourth Proportional to 174,441.20, 261,661.80 and 49,782.20

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Solution

The fourth proportional to 174,441.20, 261,661.80 and 49,782.20 is: 74,673.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,441.20 : 261,661.80 = 49,782.20 : x
  2. Step 2: Convert to fraction form
    174,441.20/261,661.80 = 49,782.20/x
  3. Step 3: Cross multiply
    174,441.20x = 261,661.80 × 49,782.20
  4. Step 4: Simplify right side
    174,441.20x = 13,026,100,059.96
  5. Step 5: Solve for x
    x = 13,026,100,059.96/174,441.20
  6. Step 6: Final answer
    x = 74,673.30

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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.