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Finding the Fourth Proportional to 162,814.20, 244,221.30 and 120,823.80

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Solution

The fourth proportional to 162,814.20, 244,221.30 and 120,823.80 is: 181,235.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,814.20 : 244,221.30 = 120,823.80 : x
  2. Step 2: Convert to fraction form
    162,814.20/244,221.30 = 120,823.80/x
  3. Step 3: Cross multiply
    162,814.20x = 244,221.30 × 120,823.80
  4. Step 4: Simplify right side
    162,814.20x = 29,507,745,506.94
  5. Step 5: Solve for x
    x = 29,507,745,506.94/162,814.20
  6. Step 6: Final answer
    x = 181,235.70

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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.