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Finding the Fourth Proportional to 161,476.49, 242,249.74 and 49,153.78

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Solution

The fourth proportional to 161,476.49, 242,249.74 and 49,153.78 is: 73,741.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,476.49 : 242,249.74 = 49,153.78 : x
  2. Step 2: Convert to fraction form
    161,476.49/242,249.74 = 49,153.78/x
  3. Step 3: Cross multiply
    161,476.49x = 242,249.74 × 49,153.78
  4. Step 4: Simplify right side
    161,476.49x = 11,907,489,213.77
  5. Step 5: Solve for x
    x = 11,907,489,213.77/161,476.49
  6. Step 6: Final answer
    x = 73,741.32

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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.