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Finding the Fourth Proportional to 180,424.50, 248,989.44 and 99,849.96

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Solution

The fourth proportional to 180,424.50, 248,989.44 and 99,849.96 is: 137,794.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,424.50 : 248,989.44 = 99,849.96 : x
  2. Step 2: Convert to fraction form
    180,424.50/248,989.44 = 99,849.96/x
  3. Step 3: Cross multiply
    180,424.50x = 248,989.44 × 99,849.96
  4. Step 4: Simplify right side
    180,424.50x = 24,861,585,624.42
  5. Step 5: Solve for x
    x = 24,861,585,624.42/180,424.50
  6. Step 6: Final answer
    x = 137,794.95

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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.