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Finding the Fourth Proportional to 161,536.88, 242,339.92 and 49,226.20

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Solution

The fourth proportional to 161,536.88, 242,339.92 and 49,226.20 is: 73,849.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,536.88 : 242,339.92 = 49,226.20 : x
  2. Step 2: Convert to fraction form
    161,536.88/242,339.92 = 49,226.20/x
  3. Step 3: Cross multiply
    161,536.88x = 242,339.92 × 49,226.20
  4. Step 4: Simplify right side
    161,536.88x = 11,929,472,640.99
  5. Step 5: Solve for x
    x = 11,929,472,640.99/161,536.88
  6. Step 6: Final answer
    x = 73,849.84

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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.