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Finding the Fourth Proportional to 269,519.20, 404,278.80 and 82,530.40

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Solution

The fourth proportional to 269,519.20, 404,278.80 and 82,530.40 is: 123,795.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,519.20 : 404,278.80 = 82,530.40 : x
  2. Step 2: Convert to fraction form
    269,519.20/404,278.80 = 82,530.40/x
  3. Step 3: Cross multiply
    269,519.20x = 404,278.80 × 82,530.40
  4. Step 4: Simplify right side
    269,519.20x = 33,365,291,075.52
  5. Step 5: Solve for x
    x = 33,365,291,075.52/269,519.20
  6. Step 6: Final answer
    x = 123,795.60

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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.