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Finding the Fourth Proportional to 106,404.41, 146,839.05 and 58,659.45

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Solution

The fourth proportional to 106,404.41, 146,839.05 and 58,659.45 is: 80,950.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,404.41 : 146,839.05 = 58,659.45 : x
  2. Step 2: Convert to fraction form
    106,404.41/146,839.05 = 58,659.45/x
  3. Step 3: Cross multiply
    106,404.41x = 146,839.05 × 58,659.45
  4. Step 4: Simplify right side
    106,404.41x = 8,613,497,911.52
  5. Step 5: Solve for x
    x = 8,613,497,911.52/106,404.41
  6. Step 6: Final answer
    x = 80,950.58

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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.