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Finding the Fourth Proportional to 103,857.96, 155,674.62 and 41,459.88

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Solution

The fourth proportional to 103,857.96, 155,674.62 and 41,459.88 is: 62,144.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,857.96 : 155,674.62 = 41,459.88 : x
  2. Step 2: Convert to fraction form
    103,857.96/155,674.62 = 41,459.88/x
  3. Step 3: Cross multiply
    103,857.96x = 155,674.62 × 41,459.88
  4. Step 4: Simplify right side
    103,857.96x = 6,454,251,064.25
  5. Step 5: Solve for x
    x = 6,454,251,064.25/103,857.96
  6. Step 6: Final answer
    x = 62,144.98

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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.