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Finding the Fourth Proportional to 175,281.20, 262,921.80 and 81,969.20

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Solution

The fourth proportional to 175,281.20, 262,921.80 and 81,969.20 is: 122,953.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,281.20 : 262,921.80 = 81,969.20 : x
  2. Step 2: Convert to fraction form
    175,281.20/262,921.80 = 81,969.20/x
  3. Step 3: Cross multiply
    175,281.20x = 262,921.80 × 81,969.20
  4. Step 4: Simplify right side
    175,281.20x = 21,551,489,608.56
  5. Step 5: Solve for x
    x = 21,551,489,608.56/175,281.20
  6. Step 6: Final answer
    x = 122,953.80

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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.