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Finding the Fourth Proportional to 161,821.29, 242,723.22 and 49,501.53

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Solution

The fourth proportional to 161,821.29, 242,723.22 and 49,501.53 is: 74,249.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,821.29 : 242,723.22 = 49,501.53 : x
  2. Step 2: Convert to fraction form
    161,821.29/242,723.22 = 49,501.53/x
  3. Step 3: Cross multiply
    161,821.29x = 242,723.22 × 49,501.53
  4. Step 4: Simplify right side
    161,821.29x = 12,015,170,570.90
  5. Step 5: Solve for x
    x = 12,015,170,570.90/161,821.29
  6. Step 6: Final answer
    x = 74,249.63

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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.