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Finding the Fourth Proportional to 161,474.10, 242,101.80 and 82,523.40

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Solution

The fourth proportional to 161,474.10, 242,101.80 and 82,523.40 is: 123,729.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,474.10 : 242,101.80 = 82,523.40 : x
  2. Step 2: Convert to fraction form
    161,474.10/242,101.80 = 82,523.40/x
  3. Step 3: Cross multiply
    161,474.10x = 242,101.80 × 82,523.40
  4. Step 4: Simplify right side
    161,474.10x = 19,979,063,682.12
  5. Step 5: Solve for x
    x = 19,979,063,682.12/161,474.10
  6. Step 6: Final answer
    x = 123,729.22

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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.