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Finding the Fourth Proportional to 295,986.97, 443,906.64 and 116,108.95

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Solution

The fourth proportional to 295,986.97, 443,906.64 and 116,108.95 is: 174,134.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,986.97 : 443,906.64 = 116,108.95 : x
  2. Step 2: Convert to fraction form
    295,986.97/443,906.64 = 116,108.95/x
  3. Step 3: Cross multiply
    295,986.97x = 443,906.64 × 116,108.95
  4. Step 4: Simplify right side
    295,986.97x = 51,541,533,868.43
  5. Step 5: Solve for x
    x = 51,541,533,868.43/295,986.97
  6. Step 6: Final answer
    x = 174,134.47

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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.