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Finding the Fourth Proportional to 196,625, 294,938.58 and 48,881

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Solution

The fourth proportional to 196,625, 294,938.58 and 48,881 is: 73,321.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,625 : 294,938.58 = 48,881 : x
  2. Step 2: Convert to fraction form
    196,625/294,938.58 = 48,881/x
  3. Step 3: Cross multiply
    196,625x = 294,938.58 × 48,881
  4. Step 4: Simplify right side
    196,625x = 14,416,892,728.98
  5. Step 5: Solve for x
    x = 14,416,892,728.98/196,625
  6. Step 6: Final answer
    x = 73,321.77

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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.