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Finding the Fourth Proportional to 182,369.67, 251,712.14 and 106,942.47

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Solution

The fourth proportional to 182,369.67, 251,712.14 and 106,942.47 is: 147,605.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,369.67 : 251,712.14 = 106,942.47 : x
  2. Step 2: Convert to fraction form
    182,369.67/251,712.14 = 106,942.47/x
  3. Step 3: Cross multiply
    182,369.67x = 251,712.14 × 106,942.47
  4. Step 4: Simplify right side
    182,369.67x = 26,918,717,445.87
  5. Step 5: Solve for x
    x = 26,918,717,445.87/182,369.67
  6. Step 6: Final answer
    x = 147,605.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.