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Finding the Fourth Proportional to 106,381.65, 146,807.69 and 58,636.83

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Solution

The fourth proportional to 106,381.65, 146,807.69 and 58,636.83 is: 80,919.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,381.65 : 146,807.69 = 58,636.83 : x
  2. Step 2: Convert to fraction form
    106,381.65/146,807.69 = 58,636.83/x
  3. Step 3: Cross multiply
    106,381.65x = 146,807.69 × 58,636.83
  4. Step 4: Simplify right side
    106,381.65x = 8,608,337,561.22
  5. Step 5: Solve for x
    x = 8,608,337,561.22/106,381.65
  6. Step 6: Final answer
    x = 80,919.38

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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.