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Finding the Fourth Proportional to 269,530.20, 404,295.30 and 82,541.40

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Solution

The fourth proportional to 269,530.20, 404,295.30 and 82,541.40 is: 123,812.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,530.20 : 404,295.30 = 82,541.40 : x
  2. Step 2: Convert to fraction form
    269,530.20/404,295.30 = 82,541.40/x
  3. Step 3: Cross multiply
    269,530.20x = 404,295.30 × 82,541.40
  4. Step 4: Simplify right side
    269,530.20x = 33,371,100,075.42
  5. Step 5: Solve for x
    x = 33,371,100,075.42/269,530.20
  6. Step 6: Final answer
    x = 123,812.10

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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.