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Finding the Fourth Proportional to 198,495.14, 297,719.47 and 56,352.90

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Solution

The fourth proportional to 198,495.14, 297,719.47 and 56,352.90 is: 84,522.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,495.14 : 297,719.47 = 56,352.90 : x
  2. Step 2: Convert to fraction form
    198,495.14/297,719.47 = 56,352.90/x
  3. Step 3: Cross multiply
    198,495.14x = 297,719.47 × 56,352.90
  4. Step 4: Simplify right side
    198,495.14x = 16,777,355,520.96
  5. Step 5: Solve for x
    x = 16,777,355,520.96/198,495.14
  6. Step 6: Final answer
    x = 84,522.75

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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.