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Finding the Fourth Proportional to 198,590.54, 297,883.17 and 48,832.17

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Solution

The fourth proportional to 198,590.54, 297,883.17 and 48,832.17 is: 73,247.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,590.54 : 297,883.17 = 48,832.17 : x
  2. Step 2: Convert to fraction form
    198,590.54/297,883.17 = 48,832.17/x
  3. Step 3: Cross multiply
    198,590.54x = 297,883.17 × 48,832.17
  4. Step 4: Simplify right side
    198,590.54x = 14,546,280,480.52
  5. Step 5: Solve for x
    x = 14,546,280,480.52/198,590.54
  6. Step 6: Final answer
    x = 73,247.60

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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.