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Finding the Fourth Proportional to 103,859.80, 155,732.10 and 41,459.80

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Solution

The fourth proportional to 103,859.80, 155,732.10 and 41,459.80 is: 62,166.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,859.80 : 155,732.10 = 41,459.80 : x
  2. Step 2: Convert to fraction form
    103,859.80/155,732.10 = 41,459.80/x
  3. Step 3: Cross multiply
    103,859.80x = 155,732.10 × 41,459.80
  4. Step 4: Simplify right side
    103,859.80x = 6,456,621,719.58
  5. Step 5: Solve for x
    x = 6,456,621,719.58/103,859.80
  6. Step 6: Final answer
    x = 62,166.71

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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.