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Finding the Fourth Proportional to 106,493.48, 146,968.26 and 61,781.48

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Solution

The fourth proportional to 106,493.48, 146,968.26 and 61,781.48 is: 85,262.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,493.48 : 146,968.26 = 61,781.48 : x
  2. Step 2: Convert to fraction form
    106,493.48/146,968.26 = 61,781.48/x
  3. Step 3: Cross multiply
    106,493.48x = 146,968.26 × 61,781.48
  4. Step 4: Simplify right side
    106,493.48x = 9,079,916,615.82
  5. Step 5: Solve for x
    x = 9,079,916,615.82/106,493.48
  6. Step 6: Final answer
    x = 85,262.65

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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.