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Finding the Fourth Proportional to 198,368.56, 297,552.78 and 50,624.56

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Solution

The fourth proportional to 198,368.56, 297,552.78 and 50,624.56 is: 75,936.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,368.56 : 297,552.78 = 50,624.56 : x
  2. Step 2: Convert to fraction form
    198,368.56/297,552.78 = 50,624.56/x
  3. Step 3: Cross multiply
    198,368.56x = 297,552.78 × 50,624.56
  4. Step 4: Simplify right side
    198,368.56x = 15,063,478,564.28
  5. Step 5: Solve for x
    x = 15,063,478,564.28/198,368.56
  6. Step 6: Final answer
    x = 75,936.82

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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.