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Finding the Fourth Proportional to 106,126.61, 146,536.97 and 81,558.53

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Solution

The fourth proportional to 106,126.61, 146,536.97 and 81,558.53 is: 112,613.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,126.61 : 146,536.97 = 81,558.53 : x
  2. Step 2: Convert to fraction form
    106,126.61/146,536.97 = 81,558.53/x
  3. Step 3: Cross multiply
    106,126.61x = 146,536.97 × 81,558.53
  4. Step 4: Simplify right side
    106,126.61x = 11,951,338,723.38
  5. Step 5: Solve for x
    x = 11,951,338,723.38/106,126.61
  6. Step 6: Final answer
    x = 112,613.97

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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.