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Finding the Fourth Proportional to 106,814.64, 160,222.50 and 27,929.04

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Solution

The fourth proportional to 106,814.64, 160,222.50 and 27,929.04 is: 41,893.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,814.64 : 160,222.50 = 27,929.04 : x
  2. Step 2: Convert to fraction form
    106,814.64/160,222.50 = 27,929.04/x
  3. Step 3: Cross multiply
    106,814.64x = 160,222.50 × 27,929.04
  4. Step 4: Simplify right side
    106,814.64x = 4,474,860,611.40
  5. Step 5: Solve for x
    x = 4,474,860,611.40/106,814.64
  6. Step 6: Final answer
    x = 41,893.70

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