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Finding the Fourth Proportional to 106,222.66, 159,104.62 and 49,978.48

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Solution

The fourth proportional to 106,222.66, 159,104.62 and 49,978.48 is: 74,859.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,222.66 : 159,104.62 = 49,978.48 : x
  2. Step 2: Convert to fraction form
    106,222.66/159,104.62 = 49,978.48/x
  3. Step 3: Cross multiply
    106,222.66x = 159,104.62 × 49,978.48
  4. Step 4: Simplify right side
    106,222.66x = 7,951,807,068.58
  5. Step 5: Solve for x
    x = 7,951,807,068.58/106,222.66
  6. Step 6: Final answer
    x = 74,859.80

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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.