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Finding the Fourth Proportional to 270,542.80, 405,871.80 and 83,573.20

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Solution

The fourth proportional to 270,542.80, 405,871.80 and 83,573.20 is: 125,377.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,542.80 : 405,871.80 = 83,573.20 : x
  2. Step 2: Convert to fraction form
    270,542.80/405,871.80 = 83,573.20/x
  3. Step 3: Cross multiply
    270,542.80x = 405,871.80 × 83,573.20
  4. Step 4: Simplify right side
    270,542.80x = 33,920,005,115.76
  5. Step 5: Solve for x
    x = 33,920,005,115.76/270,542.80
  6. Step 6: Final answer
    x = 125,377.59

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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.