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Finding the Fourth Proportional to 106,395.68, 146,834.82 and 58,658.36

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Solution

The fourth proportional to 106,395.68, 146,834.82 and 58,658.36 is: 80,953.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,395.68 : 146,834.82 = 58,658.36 : x
  2. Step 2: Convert to fraction form
    106,395.68/146,834.82 = 58,658.36/x
  3. Step 3: Cross multiply
    106,395.68x = 146,834.82 × 58,658.36
  4. Step 4: Simplify right side
    106,395.68x = 8,613,089,732.10
  5. Step 5: Solve for x
    x = 8,613,089,732.10/106,395.68
  6. Step 6: Final answer
    x = 80,953.38

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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.