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Finding the Fourth Proportional to 106,099.78, 159,050.78 and 72,835.50

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Solution

The fourth proportional to 106,099.78, 159,050.78 and 72,835.50 is: 109,185.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,099.78 : 159,050.78 = 72,835.50 : x
  2. Step 2: Convert to fraction form
    106,099.78/159,050.78 = 72,835.50/x
  3. Step 3: Cross multiply
    106,099.78x = 159,050.78 × 72,835.50
  4. Step 4: Simplify right side
    106,099.78x = 11,584,543,086.69
  5. Step 5: Solve for x
    x = 11,584,543,086.69/106,099.78
  6. Step 6: Final answer
    x = 109,185.36

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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.