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Finding the Fourth Proportional to 175,542.80, 263,355.80 and 57,214.80

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Solution

The fourth proportional to 175,542.80, 263,355.80 and 57,214.80 is: 85,835.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,542.80 : 263,355.80 = 57,214.80 : x
  2. Step 2: Convert to fraction form
    175,542.80/263,355.80 = 57,214.80/x
  3. Step 3: Cross multiply
    175,542.80x = 263,355.80 × 57,214.80
  4. Step 4: Simplify right side
    175,542.80x = 15,067,849,425.84
  5. Step 5: Solve for x
    x = 15,067,849,425.84/175,542.80
  6. Step 6: Final answer
    x = 85,835.76

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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.