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Finding the Fourth Proportional to 161,475.10, 242,103.30 and 82,524.40

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Solution

The fourth proportional to 161,475.10, 242,103.30 and 82,524.40 is: 123,730.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,475.10 : 242,103.30 = 82,524.40 : x
  2. Step 2: Convert to fraction form
    161,475.10/242,103.30 = 82,524.40/x
  3. Step 3: Cross multiply
    161,475.10x = 242,103.30 × 82,524.40
  4. Step 4: Simplify right side
    161,475.10x = 19,979,429,570.52
  5. Step 5: Solve for x
    x = 19,979,429,570.52/161,475.10
  6. Step 6: Final answer
    x = 123,730.71

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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.