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Finding the Fourth Proportional to 198,224.88, 297,334.64 and 48,466.46

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Solution

The fourth proportional to 198,224.88, 297,334.64 and 48,466.46 is: 72,699.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,224.88 : 297,334.64 = 48,466.46 : x
  2. Step 2: Convert to fraction form
    198,224.88/297,334.64 = 48,466.46/x
  3. Step 3: Cross multiply
    198,224.88x = 297,334.64 × 48,466.46
  4. Step 4: Simplify right side
    198,224.88x = 14,410,755,707.17
  5. Step 5: Solve for x
    x = 14,410,755,707.17/198,224.88
  6. Step 6: Final answer
    x = 72,699.03

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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.