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Finding the Fourth Proportional to 295,772.49, 443,733.58 and 82,540.38

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Solution

The fourth proportional to 295,772.49, 443,733.58 and 82,540.38 is: 123,831.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,772.49 : 443,733.58 = 82,540.38 : x
  2. Step 2: Convert to fraction form
    295,772.49/443,733.58 = 82,540.38/x
  3. Step 3: Cross multiply
    295,772.49x = 443,733.58 × 82,540.38
  4. Step 4: Simplify right side
    295,772.49x = 36,625,938,311.96
  5. Step 5: Solve for x
    x = 36,625,938,311.96/295,772.49
  6. Step 6: Final answer
    x = 123,831.46

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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.