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Finding the Fourth Proportional to 198,934.67, 298,447.11 and 65,814.71

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Solution

The fourth proportional to 198,934.67, 298,447.11 and 65,814.71 is: 98,736.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,934.67 : 298,447.11 = 65,814.71 : x
  2. Step 2: Convert to fraction form
    198,934.67/298,447.11 = 65,814.71/x
  3. Step 3: Cross multiply
    198,934.67x = 298,447.11 × 65,814.71
  4. Step 4: Simplify right side
    198,934.67x = 19,642,208,502.75
  5. Step 5: Solve for x
    x = 19,642,208,502.75/198,934.67
  6. Step 6: Final answer
    x = 98,736.98

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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.