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Finding the Fourth Proportional to 198,105.50, 297,214.14 and 78,088.34

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Solution

The fourth proportional to 198,105.50, 297,214.14 and 78,088.34 is: 117,154.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,105.50 : 297,214.14 = 78,088.34 : x
  2. Step 2: Convert to fraction form
    198,105.50/297,214.14 = 78,088.34/x
  3. Step 3: Cross multiply
    198,105.50x = 297,214.14 × 78,088.34
  4. Step 4: Simplify right side
    198,105.50x = 23,208,958,817.13
  5. Step 5: Solve for x
    x = 23,208,958,817.13/198,105.50
  6. Step 6: Final answer
    x = 117,154.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.