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Finding the Fourth Proportional to 193,369.42, 290,042.40 and 114,982.48

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Solution

The fourth proportional to 193,369.42, 290,042.40 and 114,982.48 is: 172,466.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,369.42 : 290,042.40 = 114,982.48 : x
  2. Step 2: Convert to fraction form
    193,369.42/290,042.40 = 114,982.48/x
  3. Step 3: Cross multiply
    193,369.42x = 290,042.40 × 114,982.48
  4. Step 4: Simplify right side
    193,369.42x = 33,349,794,457.15
  5. Step 5: Solve for x
    x = 33,349,794,457.15/193,369.42
  6. Step 6: Final answer
    x = 172,466.75

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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.