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Finding the Fourth Proportional to 140,183.64, 193,450.38 and 76,522.50

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Solution

The fourth proportional to 140,183.64, 193,450.38 and 76,522.50 is: 105,599.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,183.64 : 193,450.38 = 76,522.50 : x
  2. Step 2: Convert to fraction form
    140,183.64/193,450.38 = 76,522.50/x
  3. Step 3: Cross multiply
    140,183.64x = 193,450.38 × 76,522.50
  4. Step 4: Simplify right side
    140,183.64x = 14,803,306,703.55
  5. Step 5: Solve for x
    x = 14,803,306,703.55/140,183.64
  6. Step 6: Final answer
    x = 105,599.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.