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Finding the Fourth Proportional to 269,035.74, 403,766.73 and 150,685.02

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Solution

The fourth proportional to 269,035.74, 403,766.73 and 150,685.02 is: 226,146.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,035.74 : 403,766.73 = 150,685.02 : x
  2. Step 2: Convert to fraction form
    269,035.74/403,766.73 = 150,685.02/x
  3. Step 3: Cross multiply
    269,035.74x = 403,766.73 × 150,685.02
  4. Step 4: Simplify right side
    269,035.74x = 60,841,597,785.38
  5. Step 5: Solve for x
    x = 60,841,597,785.38/269,035.74
  6. Step 6: Final answer
    x = 226,146.90

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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.