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Finding the Fourth Proportional to 161,326.10, 241,989.15 and 82,414.10

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Solution

The fourth proportional to 161,326.10, 241,989.15 and 82,414.10 is: 123,621.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,326.10 : 241,989.15 = 82,414.10 : x
  2. Step 2: Convert to fraction form
    161,326.10/241,989.15 = 82,414.10/x
  3. Step 3: Cross multiply
    161,326.10x = 241,989.15 × 82,414.10
  4. Step 4: Simplify right side
    161,326.10x = 19,943,318,007.02
  5. Step 5: Solve for x
    x = 19,943,318,007.02/161,326.10
  6. Step 6: Final answer
    x = 123,621.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.