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Finding the Fourth Proportional to 161,733.20, 242,599.80 and 119,742.80

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Solution

The fourth proportional to 161,733.20, 242,599.80 and 119,742.80 is: 179,614.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,733.20 : 242,599.80 = 119,742.80 : x
  2. Step 2: Convert to fraction form
    161,733.20/242,599.80 = 119,742.80/x
  3. Step 3: Cross multiply
    161,733.20x = 242,599.80 × 119,742.80
  4. Step 4: Simplify right side
    161,733.20x = 29,049,579,331.44
  5. Step 5: Solve for x
    x = 29,049,579,331.44/161,733.20
  6. Step 6: Final answer
    x = 179,614.20

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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.