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Finding the Fourth Proportional to 161,642.50, 242,458.08 and 49,318.18

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Solution

The fourth proportional to 161,642.50, 242,458.08 and 49,318.18 is: 73,975.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,642.50 : 242,458.08 = 49,318.18 : x
  2. Step 2: Convert to fraction form
    161,642.50/242,458.08 = 49,318.18/x
  3. Step 3: Cross multiply
    161,642.50x = 242,458.08 × 49,318.18
  4. Step 4: Simplify right side
    161,642.50x = 11,957,591,231.89
  5. Step 5: Solve for x
    x = 11,957,591,231.89/161,642.50
  6. Step 6: Final answer
    x = 73,975.54

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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.