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Finding the Fourth Proportional to 161,662.10, 242,493.14 and 49,342.89

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Solution

The fourth proportional to 161,662.10, 242,493.14 and 49,342.89 is: 74,014.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,662.10 : 242,493.14 = 49,342.89 : x
  2. Step 2: Convert to fraction form
    161,662.10/242,493.14 = 49,342.89/x
  3. Step 3: Cross multiply
    161,662.10x = 242,493.14 × 49,342.89
  4. Step 4: Simplify right side
    161,662.10x = 11,965,312,086.06
  5. Step 5: Solve for x
    x = 11,965,312,086.06/161,662.10
  6. Step 6: Final answer
    x = 74,014.33

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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.