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Finding the Fourth Proportional to 180,236.96, 248,719.20 and 98,563.64

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Solution

The fourth proportional to 180,236.96, 248,719.20 and 98,563.64 is: 136,013.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,236.96 : 248,719.20 = 98,563.64 : x
  2. Step 2: Convert to fraction form
    180,236.96/248,719.20 = 98,563.64/x
  3. Step 3: Cross multiply
    180,236.96x = 248,719.20 × 98,563.64
  4. Step 4: Simplify right side
    180,236.96x = 24,514,669,689.89
  5. Step 5: Solve for x
    x = 24,514,669,689.89/180,236.96
  6. Step 6: Final answer
    x = 136,013.56

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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.