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Finding the Fourth Proportional to 269,959.94, 404,989.11 and 135,094.53

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Solution

The fourth proportional to 269,959.94, 404,989.11 and 135,094.53 is: 202,666.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,959.94 : 404,989.11 = 135,094.53 : x
  2. Step 2: Convert to fraction form
    269,959.94/404,989.11 = 135,094.53/x
  3. Step 3: Cross multiply
    269,959.94x = 404,989.11 × 135,094.53
  4. Step 4: Simplify right side
    269,959.94x = 54,711,813,470.57
  5. Step 5: Solve for x
    x = 54,711,813,470.57/269,959.94
  6. Step 6: Final answer
    x = 202,666.42

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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.