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Finding the Fourth Proportional to 180,245.36, 248,742.86 and 99,674.46

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Solution

The fourth proportional to 180,245.36, 248,742.86 and 99,674.46 is: 137,553.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,245.36 : 248,742.86 = 99,674.46 : x
  2. Step 2: Convert to fraction form
    180,245.36/248,742.86 = 99,674.46/x
  3. Step 3: Cross multiply
    180,245.36x = 248,742.86 × 99,674.46
  4. Step 4: Simplify right side
    180,245.36x = 24,793,309,750.98
  5. Step 5: Solve for x
    x = 24,793,309,750.98/180,245.36
  6. Step 6: Final answer
    x = 137,553.11

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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.