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Finding the Fourth Proportional to 107,816.40, 161,647.80 and 41,230.80

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Solution

The fourth proportional to 107,816.40, 161,647.80 and 41,230.80 is: 61,816.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,816.40 : 161,647.80 = 41,230.80 : x
  2. Step 2: Convert to fraction form
    107,816.40/161,647.80 = 41,230.80/x
  3. Step 3: Cross multiply
    107,816.40x = 161,647.80 × 41,230.80
  4. Step 4: Simplify right side
    107,816.40x = 6,664,868,112.24
  5. Step 5: Solve for x
    x = 6,664,868,112.24/107,816.40
  6. Step 6: Final answer
    x = 61,816.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.