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Finding the Fourth Proportional to 180,236.52, 248,723.82 and 99,662.31

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Solution

The fourth proportional to 180,236.52, 248,723.82 and 99,662.31 is: 137,532.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,236.52 : 248,723.82 = 99,662.31 : x
  2. Step 2: Convert to fraction form
    180,236.52/248,723.82 = 99,662.31/x
  3. Step 3: Cross multiply
    180,236.52x = 248,723.82 × 99,662.31
  4. Step 4: Simplify right side
    180,236.52x = 24,788,390,453.22
  5. Step 5: Solve for x
    x = 24,788,390,453.22/180,236.52
  6. Step 6: Final answer
    x = 137,532.56

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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.