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Finding the Fourth Proportional to 198,174.87, 297,261.26 and 48,416

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Solution

The fourth proportional to 198,174.87, 297,261.26 and 48,416 is: 72,623.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,174.87 : 297,261.26 = 48,416 : x
  2. Step 2: Convert to fraction form
    198,174.87/297,261.26 = 48,416/x
  3. Step 3: Cross multiply
    198,174.87x = 297,261.26 × 48,416
  4. Step 4: Simplify right side
    198,174.87x = 14,392,201,164.16
  5. Step 5: Solve for x
    x = 14,392,201,164.16/198,174.87
  6. Step 6: Final answer
    x = 72,623.74

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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.